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Finding the Fourth Proportional to 7,909.40, 11,864.10 and 5,139.20

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Solution

The fourth proportional to 7,909.40, 11,864.10 and 5,139.20 is: 7,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.40 : 11,864.10 = 5,139.20 : x
  2. Step 2: Convert to fraction form
    7,909.40/11,864.10 = 5,139.20/x
  3. Step 3: Cross multiply
    7,909.40x = 11,864.10 × 5,139.20
  4. Step 4: Simplify right side
    7,909.40x = 60,971,982.72
  5. Step 5: Solve for x
    x = 60,971,982.72/7,909.40
  6. Step 6: Final answer
    x = 7,708.80

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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.