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Finding the Fourth Proportional to 10,658.64, 15,988.92 and 2,867.28

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Solution

The fourth proportional to 10,658.64, 15,988.92 and 2,867.28 is: 4,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.64 : 15,988.92 = 2,867.28 : x
  2. Step 2: Convert to fraction form
    10,658.64/15,988.92 = 2,867.28/x
  3. Step 3: Cross multiply
    10,658.64x = 15,988.92 × 2,867.28
  4. Step 4: Simplify right side
    10,658.64x = 45,844,710.54
  5. Step 5: Solve for x
    x = 45,844,710.54/10,658.64
  6. Step 6: Final answer
    x = 4,301.18

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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.