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Finding the Fourth Proportional to 5,381.76, 8,079.84 and 5,206.80

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Solution

The fourth proportional to 5,381.76, 8,079.84 and 5,206.80 is: 7,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.76 : 8,079.84 = 5,206.80 : x
  2. Step 2: Convert to fraction form
    5,381.76/8,079.84 = 5,206.80/x
  3. Step 3: Cross multiply
    5,381.76x = 8,079.84 × 5,206.80
  4. Step 4: Simplify right side
    5,381.76x = 42,070,110.91
  5. Step 5: Solve for x
    x = 42,070,110.91/5,381.76
  6. Step 6: Final answer
    x = 7,817.17

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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.