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Finding the Fourth Proportional to 7,753.78, 10,695.65 and 4,877.92

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Solution

The fourth proportional to 7,753.78, 10,695.65 and 4,877.92 is: 6,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.78 : 10,695.65 = 4,877.92 : x
  2. Step 2: Convert to fraction form
    7,753.78/10,695.65 = 4,877.92/x
  3. Step 3: Cross multiply
    7,753.78x = 10,695.65 × 4,877.92
  4. Step 4: Simplify right side
    7,753.78x = 52,172,514.03
  5. Step 5: Solve for x
    x = 52,172,514.03/7,753.78
  6. Step 6: Final answer
    x = 6,728.66

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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.