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Finding the Fourth Proportional to 9,489.70, 14,235.76 and 3,645.55

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Solution

The fourth proportional to 9,489.70, 14,235.76 and 3,645.55 is: 5,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.70 : 14,235.76 = 3,645.55 : x
  2. Step 2: Convert to fraction form
    9,489.70/14,235.76 = 3,645.55/x
  3. Step 3: Cross multiply
    9,489.70x = 14,235.76 × 3,645.55
  4. Step 4: Simplify right side
    9,489.70x = 51,897,103.69
  5. Step 5: Solve for x
    x = 51,897,103.69/9,489.70
  6. Step 6: Final answer
    x = 5,468.79

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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.