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Finding the Fourth Proportional to 10,262.40, 15,422.40 and 8,995.20

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Solution

The fourth proportional to 10,262.40, 15,422.40 and 8,995.20 is: 13,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.40 : 15,422.40 = 8,995.20 : x
  2. Step 2: Convert to fraction form
    10,262.40/15,422.40 = 8,995.20/x
  3. Step 3: Cross multiply
    10,262.40x = 15,422.40 × 8,995.20
  4. Step 4: Simplify right side
    10,262.40x = 138,727,572.48
  5. Step 5: Solve for x
    x = 138,727,572.48/10,262.40
  6. Step 6: Final answer
    x = 13,518.04

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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.