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Finding the Fourth Proportional to 6,915.86, 9,543.87 and 3,931.68

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Solution

The fourth proportional to 6,915.86, 9,543.87 and 3,931.68 is: 5,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.86 : 9,543.87 = 3,931.68 : x
  2. Step 2: Convert to fraction form
    6,915.86/9,543.87 = 3,931.68/x
  3. Step 3: Cross multiply
    6,915.86x = 9,543.87 × 3,931.68
  4. Step 4: Simplify right side
    6,915.86x = 37,523,442.80
  5. Step 5: Solve for x
    x = 37,523,442.80/6,915.86
  6. Step 6: Final answer
    x = 5,425.71

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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.