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Finding the Fourth Proportional to 19,761.10, 29,641.48 and 8,066.12

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Solution

The fourth proportional to 19,761.10, 29,641.48 and 8,066.12 is: 12,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.10 : 29,641.48 = 8,066.12 : x
  2. Step 2: Convert to fraction form
    19,761.10/29,641.48 = 8,066.12/x
  3. Step 3: Cross multiply
    19,761.10x = 29,641.48 × 8,066.12
  4. Step 4: Simplify right side
    19,761.10x = 239,091,566.28
  5. Step 5: Solve for x
    x = 239,091,566.28/19,761.10
  6. Step 6: Final answer
    x = 12,099.10

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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.