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Finding the Fourth Proportional to 8,301.98, 11,459.80 and 5,115.80

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Solution

The fourth proportional to 8,301.98, 11,459.80 and 5,115.80 is: 7,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.98 : 11,459.80 = 5,115.80 : x
  2. Step 2: Convert to fraction form
    8,301.98/11,459.80 = 5,115.80/x
  3. Step 3: Cross multiply
    8,301.98x = 11,459.80 × 5,115.80
  4. Step 4: Simplify right side
    8,301.98x = 58,626,079.88
  5. Step 5: Solve for x
    x = 58,626,079.88/8,301.98
  6. Step 6: Final answer
    x = 7,061.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.