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Finding the Fourth Proportional to 5,113.92, 7,664.16 and 2,642.40

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Solution

The fourth proportional to 5,113.92, 7,664.16 and 2,642.40 is: 3,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.92 : 7,664.16 = 2,642.40 : x
  2. Step 2: Convert to fraction form
    5,113.92/7,664.16 = 2,642.40/x
  3. Step 3: Cross multiply
    5,113.92x = 7,664.16 × 2,642.40
  4. Step 4: Simplify right side
    5,113.92x = 20,251,776.38
  5. Step 5: Solve for x
    x = 20,251,776.38/5,113.92
  6. Step 6: Final answer
    x = 3,960.13

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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.