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Finding the Fourth Proportional to 9,883.95, 13,640.17 and 5,407.70

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Solution

The fourth proportional to 9,883.95, 13,640.17 and 5,407.70 is: 7,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.95 : 13,640.17 = 5,407.70 : x
  2. Step 2: Convert to fraction form
    9,883.95/13,640.17 = 5,407.70/x
  3. Step 3: Cross multiply
    9,883.95x = 13,640.17 × 5,407.70
  4. Step 4: Simplify right side
    9,883.95x = 73,761,937.02
  5. Step 5: Solve for x
    x = 73,761,937.02/9,883.95
  6. Step 6: Final answer
    x = 7,462.80

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Similar ratio
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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.