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Finding the Fourth Proportional to 10,287.20, 15,409.20 and 8,559.20

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Solution

The fourth proportional to 10,287.20, 15,409.20 and 8,559.20 is: 12,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.20 : 15,409.20 = 8,559.20 : x
  2. Step 2: Convert to fraction form
    10,287.20/15,409.20 = 8,559.20/x
  3. Step 3: Cross multiply
    10,287.20x = 15,409.20 × 8,559.20
  4. Step 4: Simplify right side
    10,287.20x = 131,890,424.64
  5. Step 5: Solve for x
    x = 131,890,424.64/10,287.20
  6. Step 6: Final answer
    x = 12,820.83

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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.