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Finding the Fourth Proportional to 9,854.88, 14,781.96 and 2,929.20

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Solution

The fourth proportional to 9,854.88, 14,781.96 and 2,929.20 is: 4,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.88 : 14,781.96 = 2,929.20 : x
  2. Step 2: Convert to fraction form
    9,854.88/14,781.96 = 2,929.20/x
  3. Step 3: Cross multiply
    9,854.88x = 14,781.96 × 2,929.20
  4. Step 4: Simplify right side
    9,854.88x = 43,299,317.23
  5. Step 5: Solve for x
    x = 43,299,317.23/9,854.88
  6. Step 6: Final answer
    x = 4,393.69

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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.