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Finding the Fourth Proportional to 5,103.46, 7,644 and 2,640.70

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Solution

The fourth proportional to 5,103.46, 7,644 and 2,640.70 is: 3,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.46 : 7,644 = 2,640.70 : x
  2. Step 2: Convert to fraction form
    5,103.46/7,644 = 2,640.70/x
  3. Step 3: Cross multiply
    5,103.46x = 7,644 × 2,640.70
  4. Step 4: Simplify right side
    5,103.46x = 20,185,510.80
  5. Step 5: Solve for x
    x = 20,185,510.80/5,103.46
  6. Step 6: Final answer
    x = 3,955.26

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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.