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Finding the Fourth Proportional to 7,909.50, 10,915.14 and 4,372.74

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Solution

The fourth proportional to 7,909.50, 10,915.14 and 4,372.74 is: 6,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.50 : 10,915.14 = 4,372.74 : x
  2. Step 2: Convert to fraction form
    7,909.50/10,915.14 = 4,372.74/x
  3. Step 3: Cross multiply
    7,909.50x = 10,915.14 × 4,372.74
  4. Step 4: Simplify right side
    7,909.50x = 47,729,069.28
  5. Step 5: Solve for x
    x = 47,729,069.28/7,909.50
  6. Step 6: Final answer
    x = 6,034.40

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1.5x scale

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.