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Finding the Fourth Proportional to 4,874.24, 7,312.13 and 2,101.70

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Solution

The fourth proportional to 4,874.24, 7,312.13 and 2,101.70 is: 3,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.24 : 7,312.13 = 2,101.70 : x
  2. Step 2: Convert to fraction form
    4,874.24/7,312.13 = 2,101.70/x
  3. Step 3: Cross multiply
    4,874.24x = 7,312.13 × 2,101.70
  4. Step 4: Simplify right side
    4,874.24x = 15,367,903.62
  5. Step 5: Solve for x
    x = 15,367,903.62/4,874.24
  6. Step 6: Final answer
    x = 3,152.88

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