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Finding the Fourth Proportional to 5,147.59, 7,108.71 and 4,397.17

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Solution

The fourth proportional to 5,147.59, 7,108.71 and 4,397.17 is: 6,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.59 : 7,108.71 = 4,397.17 : x
  2. Step 2: Convert to fraction form
    5,147.59/7,108.71 = 4,397.17/x
  3. Step 3: Cross multiply
    5,147.59x = 7,108.71 × 4,397.17
  4. Step 4: Simplify right side
    5,147.59x = 31,258,170.81
  5. Step 5: Solve for x
    x = 31,258,170.81/5,147.59
  6. Step 6: Final answer
    x = 6,072.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.