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Finding the Fourth Proportional to 9,887.96, 13,644.70 and 5,639.20

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Solution

The fourth proportional to 9,887.96, 13,644.70 and 5,639.20 is: 7,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.96 : 13,644.70 = 5,639.20 : x
  2. Step 2: Convert to fraction form
    9,887.96/13,644.70 = 5,639.20/x
  3. Step 3: Cross multiply
    9,887.96x = 13,644.70 × 5,639.20
  4. Step 4: Simplify right side
    9,887.96x = 76,945,211.06
  5. Step 5: Solve for x
    x = 76,945,211.06/9,887.96
  6. Step 6: Final answer
    x = 7,781.71

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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.