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Finding the Fourth Proportional to 2,317.86, 3,476.81 and 856.99

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Solution

The fourth proportional to 2,317.86, 3,476.81 and 856.99 is: 1,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.86 : 3,476.81 = 856.99 : x
  2. Step 2: Convert to fraction form
    2,317.86/3,476.81 = 856.99/x
  3. Step 3: Cross multiply
    2,317.86x = 3,476.81 × 856.99
  4. Step 4: Simplify right side
    2,317.86x = 2,979,578.42
  5. Step 5: Solve for x
    x = 2,979,578.42/2,317.86
  6. Step 6: Final answer
    x = 1,285.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.