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Finding the Fourth Proportional to 2,317.68, 3,476.36 and 856.68

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Solution

The fourth proportional to 2,317.68, 3,476.36 and 856.68 is: 1,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.68 : 3,476.36 = 856.68 : x
  2. Step 2: Convert to fraction form
    2,317.68/3,476.36 = 856.68/x
  3. Step 3: Cross multiply
    2,317.68x = 3,476.36 × 856.68
  4. Step 4: Simplify right side
    2,317.68x = 2,978,128.08
  5. Step 5: Solve for x
    x = 2,978,128.08/2,317.68
  6. Step 6: Final answer
    x = 1,284.96

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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.