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Finding the Fourth Proportional to 7,657.91, 11,472.25 and 5,188.49

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Solution

The fourth proportional to 7,657.91, 11,472.25 and 5,188.49 is: 7,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.91 : 11,472.25 = 5,188.49 : x
  2. Step 2: Convert to fraction form
    7,657.91/11,472.25 = 5,188.49/x
  3. Step 3: Cross multiply
    7,657.91x = 11,472.25 × 5,188.49
  4. Step 4: Simplify right side
    7,657.91x = 59,523,654.40
  5. Step 5: Solve for x
    x = 59,523,654.40/7,657.91
  6. Step 6: Final answer
    x = 7,772.83

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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.