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Finding the Fourth Proportional to 9,887.42, 13,630.44 and 7,049.87

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Solution

The fourth proportional to 9,887.42, 13,630.44 and 7,049.87 is: 9,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.42 : 13,630.44 = 7,049.87 : x
  2. Step 2: Convert to fraction form
    9,887.42/13,630.44 = 7,049.87/x
  3. Step 3: Cross multiply
    9,887.42x = 13,630.44 × 7,049.87
  4. Step 4: Simplify right side
    9,887.42x = 96,092,780.95
  5. Step 5: Solve for x
    x = 96,092,780.95/9,887.42
  6. Step 6: Final answer
    x = 9,718.69

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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.