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Finding the Fourth Proportional to 19,785.43, 29,681.99 and 6,462.14

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Solution

The fourth proportional to 19,785.43, 29,681.99 and 6,462.14 is: 9,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.43 : 29,681.99 = 6,462.14 : x
  2. Step 2: Convert to fraction form
    19,785.43/29,681.99 = 6,462.14/x
  3. Step 3: Cross multiply
    19,785.43x = 29,681.99 × 6,462.14
  4. Step 4: Simplify right side
    19,785.43x = 191,809,142.55
  5. Step 5: Solve for x
    x = 191,809,142.55/19,785.43
  6. Step 6: Final answer
    x = 9,694.47

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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.