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Finding the Fourth Proportional to 5,154.16, 7,731.24 and 2,078.32

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Solution

The fourth proportional to 5,154.16, 7,731.24 and 2,078.32 is: 3,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.16 : 7,731.24 = 2,078.32 : x
  2. Step 2: Convert to fraction form
    5,154.16/7,731.24 = 2,078.32/x
  3. Step 3: Cross multiply
    5,154.16x = 7,731.24 × 2,078.32
  4. Step 4: Simplify right side
    5,154.16x = 16,067,990.72
  5. Step 5: Solve for x
    x = 16,067,990.72/5,154.16
  6. Step 6: Final answer
    x = 3,117.48

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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.