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Finding the Fourth Proportional to 2,317.70, 3,477.01 and 856.87

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Solution

The fourth proportional to 2,317.70, 3,477.01 and 856.87 is: 1,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.70 : 3,477.01 = 856.87 : x
  2. Step 2: Convert to fraction form
    2,317.70/3,477.01 = 856.87/x
  3. Step 3: Cross multiply
    2,317.70x = 3,477.01 × 856.87
  4. Step 4: Simplify right side
    2,317.70x = 2,979,345.56
  5. Step 5: Solve for x
    x = 2,979,345.56/2,317.70
  6. Step 6: Final answer
    x = 1,285.48

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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.