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Finding the Fourth Proportional to 6,915.11, 9,541.61 and 3,930.76

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Solution

The fourth proportional to 6,915.11, 9,541.61 and 3,930.76 is: 5,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.11 : 9,541.61 = 3,930.76 : x
  2. Step 2: Convert to fraction form
    6,915.11/9,541.61 = 3,930.76/x
  3. Step 3: Cross multiply
    6,915.11x = 9,541.61 × 3,930.76
  4. Step 4: Simplify right side
    6,915.11x = 37,505,774.88
  5. Step 5: Solve for x
    x = 37,505,774.88/6,915.11
  6. Step 6: Final answer
    x = 5,423.75

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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.