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Finding the Fourth Proportional to 5,146.62, 7,713.15 and 2,807.64

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Solution

The fourth proportional to 5,146.62, 7,713.15 and 2,807.64 is: 4,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.62 : 7,713.15 = 2,807.64 : x
  2. Step 2: Convert to fraction form
    5,146.62/7,713.15 = 2,807.64/x
  3. Step 3: Cross multiply
    5,146.62x = 7,713.15 × 2,807.64
  4. Step 4: Simplify right side
    5,146.62x = 21,655,748.47
  5. Step 5: Solve for x
    x = 21,655,748.47/5,146.62
  6. Step 6: Final answer
    x = 4,207.76

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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.