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Finding the Fourth Proportional to 3,497.81, 5,247.61 and 1,306.55

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Solution

The fourth proportional to 3,497.81, 5,247.61 and 1,306.55 is: 1,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.81 : 5,247.61 = 1,306.55 : x
  2. Step 2: Convert to fraction form
    3,497.81/5,247.61 = 1,306.55/x
  3. Step 3: Cross multiply
    3,497.81x = 5,247.61 × 1,306.55
  4. Step 4: Simplify right side
    3,497.81x = 6,856,274.70
  5. Step 5: Solve for x
    x = 6,856,274.70/3,497.81
  6. Step 6: Final answer
    x = 1,960.16

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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.