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Finding the Fourth Proportional to 9,909.86, 14,835.62 and 6,614.78

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Solution

The fourth proportional to 9,909.86, 14,835.62 and 6,614.78 is: 9,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.86 : 14,835.62 = 6,614.78 : x
  2. Step 2: Convert to fraction form
    9,909.86/14,835.62 = 6,614.78/x
  3. Step 3: Cross multiply
    9,909.86x = 14,835.62 × 6,614.78
  4. Step 4: Simplify right side
    9,909.86x = 98,134,304.82
  5. Step 5: Solve for x
    x = 98,134,304.82/9,909.86
  6. Step 6: Final answer
    x = 9,902.70

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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.