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Finding the Fourth Proportional to 19,454.40, 29,138.40 and 7,761.60

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Solution

The fourth proportional to 19,454.40, 29,138.40 and 7,761.60 is: 11,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454.40 : 29,138.40 = 7,761.60 : x
  2. Step 2: Convert to fraction form
    19,454.40/29,138.40 = 7,761.60/x
  3. Step 3: Cross multiply
    19,454.40x = 29,138.40 × 7,761.60
  4. Step 4: Simplify right side
    19,454.40x = 226,160,605.44
  5. Step 5: Solve for x
    x = 226,160,605.44/19,454.40
  6. Step 6: Final answer
    x = 11,625.16

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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.