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Finding the Fourth Proportional to 9,887.47, 14,830.90 and 2,491.97

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Solution

The fourth proportional to 9,887.47, 14,830.90 and 2,491.97 is: 3,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.47 : 14,830.90 = 2,491.97 : x
  2. Step 2: Convert to fraction form
    9,887.47/14,830.90 = 2,491.97/x
  3. Step 3: Cross multiply
    9,887.47x = 14,830.90 × 2,491.97
  4. Step 4: Simplify right side
    9,887.47x = 36,958,077.49
  5. Step 5: Solve for x
    x = 36,958,077.49/9,887.47
  6. Step 6: Final answer
    x = 3,737.87

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1.5x scale

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.