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Finding the Fourth Proportional to 10,729.60, 16,100.08 and 5,257.60

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Solution

The fourth proportional to 10,729.60, 16,100.08 and 5,257.60 is: 7,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.60 : 16,100.08 = 5,257.60 : x
  2. Step 2: Convert to fraction form
    10,729.60/16,100.08 = 5,257.60/x
  3. Step 3: Cross multiply
    10,729.60x = 16,100.08 × 5,257.60
  4. Step 4: Simplify right side
    10,729.60x = 84,647,780.61
  5. Step 5: Solve for x
    x = 84,647,780.61/10,729.60
  6. Step 6: Final answer
    x = 7,889.18

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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.