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Finding the Fourth Proportional to 19,605.24, 29,407.86 and 7,761.42

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Solution

The fourth proportional to 19,605.24, 29,407.86 and 7,761.42 is: 11,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.24 : 29,407.86 = 7,761.42 : x
  2. Step 2: Convert to fraction form
    19,605.24/29,407.86 = 7,761.42/x
  3. Step 3: Cross multiply
    19,605.24x = 29,407.86 × 7,761.42
  4. Step 4: Simplify right side
    19,605.24x = 228,246,752.76
  5. Step 5: Solve for x
    x = 228,246,752.76/19,605.24
  6. Step 6: Final answer
    x = 11,642.13

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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.