Home / 5,147-7,730.88-3,071.04

Finding the Fourth Proportional to 5,147, 7,730.88 and 3,071.04

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Solution

The fourth proportional to 5,147, 7,730.88 and 3,071.04 is: 4,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147 : 7,730.88 = 3,071.04 : x
  2. Step 2: Convert to fraction form
    5,147/7,730.88 = 3,071.04/x
  3. Step 3: Cross multiply
    5,147x = 7,730.88 × 3,071.04
  4. Step 4: Simplify right side
    5,147x = 23,741,841.72
  5. Step 5: Solve for x
    x = 23,741,841.72/5,147
  6. Step 6: Final answer
    x = 4,612.75

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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.