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Finding the Fourth Proportional to 3,498.76, 5,247.78 and 1,158.68

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Solution

The fourth proportional to 3,498.76, 5,247.78 and 1,158.68 is: 1,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.76 : 5,247.78 = 1,158.68 : x
  2. Step 2: Convert to fraction form
    3,498.76/5,247.78 = 1,158.68/x
  3. Step 3: Cross multiply
    3,498.76x = 5,247.78 × 1,158.68
  4. Step 4: Simplify right side
    3,498.76x = 6,080,497.73
  5. Step 5: Solve for x
    x = 6,080,497.73/3,498.76
  6. Step 6: Final answer
    x = 1,737.90

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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.