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Finding the Fourth Proportional to 8,753.60, 13,111.20 and 7,780.80

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Solution

The fourth proportional to 8,753.60, 13,111.20 and 7,780.80 is: 11,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,753.60 : 13,111.20 = 7,780.80 : x
  2. Step 2: Convert to fraction form
    8,753.60/13,111.20 = 7,780.80/x
  3. Step 3: Cross multiply
    8,753.60x = 13,111.20 × 7,780.80
  4. Step 4: Simplify right side
    8,753.60x = 102,015,624.96
  5. Step 5: Solve for x
    x = 102,015,624.96/8,753.60
  6. Step 6: Final answer
    x = 11,654.13

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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.