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Finding the Fourth Proportional to 19,785.14, 29,668.14 and 7,311.04

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Solution

The fourth proportional to 19,785.14, 29,668.14 and 7,311.04 is: 10,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.14 : 29,668.14 = 7,311.04 : x
  2. Step 2: Convert to fraction form
    19,785.14/29,668.14 = 7,311.04/x
  3. Step 3: Cross multiply
    19,785.14x = 29,668.14 × 7,311.04
  4. Step 4: Simplify right side
    19,785.14x = 216,904,884.10
  5. Step 5: Solve for x
    x = 216,904,884.10/19,785.14
  6. Step 6: Final answer
    x = 10,963.02

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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.