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Finding the Fourth Proportional to 5,172, 7,758.02 and 3,524.46

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Solution

The fourth proportional to 5,172, 7,758.02 and 3,524.46 is: 5,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172 : 7,758.02 = 3,524.46 : x
  2. Step 2: Convert to fraction form
    5,172/7,758.02 = 3,524.46/x
  3. Step 3: Cross multiply
    5,172x = 7,758.02 × 3,524.46
  4. Step 4: Simplify right side
    5,172x = 27,342,831.17
  5. Step 5: Solve for x
    x = 27,342,831.17/5,172
  6. Step 6: Final answer
    x = 5,286.70

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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.