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Finding the Fourth Proportional to 9,913.80, 13,687.20 and 6,561.28

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Solution

The fourth proportional to 9,913.80, 13,687.20 and 6,561.28 is: 9,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.80 : 13,687.20 = 6,561.28 : x
  2. Step 2: Convert to fraction form
    9,913.80/13,687.20 = 6,561.28/x
  3. Step 3: Cross multiply
    9,913.80x = 13,687.20 × 6,561.28
  4. Step 4: Simplify right side
    9,913.80x = 89,805,635.30
  5. Step 5: Solve for x
    x = 89,805,635.30/9,913.80
  6. Step 6: Final answer
    x = 9,058.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.