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Finding the Fourth Proportional to 8,959.71, 13,434.10 and 3,693.09

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Solution

The fourth proportional to 8,959.71, 13,434.10 and 3,693.09 is: 5,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.71 : 13,434.10 = 3,693.09 : x
  2. Step 2: Convert to fraction form
    8,959.71/13,434.10 = 3,693.09/x
  3. Step 3: Cross multiply
    8,959.71x = 13,434.10 × 3,693.09
  4. Step 4: Simplify right side
    8,959.71x = 49,613,331.14
  5. Step 5: Solve for x
    x = 49,613,331.14/8,959.71
  6. Step 6: Final answer
    x = 5,537.38

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