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Finding the Fourth Proportional to 10,532.60, 15,770.10 and 8,228.60

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Solution

The fourth proportional to 10,532.60, 15,770.10 and 8,228.60 is: 12,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.60 : 15,770.10 = 8,228.60 : x
  2. Step 2: Convert to fraction form
    10,532.60/15,770.10 = 8,228.60/x
  3. Step 3: Cross multiply
    10,532.60x = 15,770.10 × 8,228.60
  4. Step 4: Simplify right side
    10,532.60x = 129,765,844.86
  5. Step 5: Solve for x
    x = 129,765,844.86/10,532.60
  6. Step 6: Final answer
    x = 12,320.40

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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.