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Finding the Fourth Proportional to 10,478.76, 15,719.08 and 2,687.64

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Solution

The fourth proportional to 10,478.76, 15,719.08 and 2,687.64 is: 4,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.76 : 15,719.08 = 2,687.64 : x
  2. Step 2: Convert to fraction form
    10,478.76/15,719.08 = 2,687.64/x
  3. Step 3: Cross multiply
    10,478.76x = 15,719.08 × 2,687.64
  4. Step 4: Simplify right side
    10,478.76x = 42,247,228.17
  5. Step 5: Solve for x
    x = 42,247,228.17/10,478.76
  6. Step 6: Final answer
    x = 4,031.70

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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.