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Finding the Fourth Proportional to 5,117, 7,061.46 and 2,909

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Solution

The fourth proportional to 5,117, 7,061.46 and 2,909 is: 4,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117 : 7,061.46 = 2,909 : x
  2. Step 2: Convert to fraction form
    5,117/7,061.46 = 2,909/x
  3. Step 3: Cross multiply
    5,117x = 7,061.46 × 2,909
  4. Step 4: Simplify right side
    5,117x = 20,541,787.14
  5. Step 5: Solve for x
    x = 20,541,787.14/5,117
  6. Step 6: Final answer
    x = 4,014.42

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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.