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Finding the Fourth Proportional to 6,915.83, 9,543.80 and 3,931.65

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Solution

The fourth proportional to 6,915.83, 9,543.80 and 3,931.65 is: 5,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.83 : 9,543.80 = 3,931.65 : x
  2. Step 2: Convert to fraction form
    6,915.83/9,543.80 = 3,931.65/x
  3. Step 3: Cross multiply
    6,915.83x = 9,543.80 × 3,931.65
  4. Step 4: Simplify right side
    6,915.83x = 37,522,891.10
  5. Step 5: Solve for x
    x = 37,522,891.10/6,915.83
  6. Step 6: Final answer
    x = 5,425.66

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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.