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Finding the Fourth Proportional to 7,909.32, 11,864.40 and 6,747.42

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Solution

The fourth proportional to 7,909.32, 11,864.40 and 6,747.42 is: 10,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.32 : 11,864.40 = 6,747.42 : x
  2. Step 2: Convert to fraction form
    7,909.32/11,864.40 = 6,747.42/x
  3. Step 3: Cross multiply
    7,909.32x = 11,864.40 × 6,747.42
  4. Step 4: Simplify right side
    7,909.32x = 80,054,089.85
  5. Step 5: Solve for x
    x = 80,054,089.85/7,909.32
  6. Step 6: Final answer
    x = 10,121.49

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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.