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Finding the Fourth Proportional to 3,613.65, 5,420.84 and 1,304.61

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Solution

The fourth proportional to 3,613.65, 5,420.84 and 1,304.61 is: 1,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.65 : 5,420.84 = 1,304.61 : x
  2. Step 2: Convert to fraction form
    3,613.65/5,420.84 = 1,304.61/x
  3. Step 3: Cross multiply
    3,613.65x = 5,420.84 × 1,304.61
  4. Step 4: Simplify right side
    3,613.65x = 7,072,082.07
  5. Step 5: Solve for x
    x = 7,072,082.07/3,613.65
  6. Step 6: Final answer
    x = 1,957.05

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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.