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Finding the Fourth Proportional to 3,680.66, 5,070.72 and 3,013.62

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Solution

The fourth proportional to 3,680.66, 5,070.72 and 3,013.62 is: 4,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.66 : 5,070.72 = 3,013.62 : x
  2. Step 2: Convert to fraction form
    3,680.66/5,070.72 = 3,013.62/x
  3. Step 3: Cross multiply
    3,680.66x = 5,070.72 × 3,013.62
  4. Step 4: Simplify right side
    3,680.66x = 15,281,223.21
  5. Step 5: Solve for x
    x = 15,281,223.21/3,680.66
  6. Step 6: Final answer
    x = 4,151.76

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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.