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Finding the Fourth Proportional to 3,915.76, 5,872.22 and 1,141.68

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Solution

The fourth proportional to 3,915.76, 5,872.22 and 1,141.68 is: 1,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.76 : 5,872.22 = 1,141.68 : x
  2. Step 2: Convert to fraction form
    3,915.76/5,872.22 = 1,141.68/x
  3. Step 3: Cross multiply
    3,915.76x = 5,872.22 × 1,141.68
  4. Step 4: Simplify right side
    3,915.76x = 6,704,196.13
  5. Step 5: Solve for x
    x = 6,704,196.13/3,915.76
  6. Step 6: Final answer
    x = 1,712.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.