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Finding the Fourth Proportional to 10,867.80, 16,282.80 and 5,012.40

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Solution

The fourth proportional to 10,867.80, 16,282.80 and 5,012.40 is: 7,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.80 : 16,282.80 = 5,012.40 : x
  2. Step 2: Convert to fraction form
    10,867.80/16,282.80 = 5,012.40/x
  3. Step 3: Cross multiply
    10,867.80x = 16,282.80 × 5,012.40
  4. Step 4: Simplify right side
    10,867.80x = 81,615,906.72
  5. Step 5: Solve for x
    x = 81,615,906.72/10,867.80
  6. Step 6: Final answer
    x = 7,509.88

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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.