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Finding the Fourth Proportional to 9,781.64, 14,663.46 and 3,540.20

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Solution

The fourth proportional to 9,781.64, 14,663.46 and 3,540.20 is: 5,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.64 : 14,663.46 = 3,540.20 : x
  2. Step 2: Convert to fraction form
    9,781.64/14,663.46 = 3,540.20/x
  3. Step 3: Cross multiply
    9,781.64x = 14,663.46 × 3,540.20
  4. Step 4: Simplify right side
    9,781.64x = 51,911,581.09
  5. Step 5: Solve for x
    x = 51,911,581.09/9,781.64
  6. Step 6: Final answer
    x = 5,307.04

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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.