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Finding the Fourth Proportional to 7,872.52, 10,869.30 and 4,892.80

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Solution

The fourth proportional to 7,872.52, 10,869.30 and 4,892.80 is: 6,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.52 : 10,869.30 = 4,892.80 : x
  2. Step 2: Convert to fraction form
    7,872.52/10,869.30 = 4,892.80/x
  3. Step 3: Cross multiply
    7,872.52x = 10,869.30 × 4,892.80
  4. Step 4: Simplify right side
    7,872.52x = 53,181,311.04
  5. Step 5: Solve for x
    x = 53,181,311.04/7,872.52
  6. Step 6: Final answer
    x = 6,755.31

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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.