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Finding the Fourth Proportional to 7,909, 10,915.38 and 4,597

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Solution

The fourth proportional to 7,909, 10,915.38 and 4,597 is: 6,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909 : 10,915.38 = 4,597 : x
  2. Step 2: Convert to fraction form
    7,909/10,915.38 = 4,597/x
  3. Step 3: Cross multiply
    7,909x = 10,915.38 × 4,597
  4. Step 4: Simplify right side
    7,909x = 50,178,001.86
  5. Step 5: Solve for x
    x = 50,178,001.86/7,909
  6. Step 6: Final answer
    x = 6,344.42

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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.