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Finding the Fourth Proportional to 2,754, 4,128.84 and 1,292.76

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Solution

The fourth proportional to 2,754, 4,128.84 and 1,292.76 is: 1,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754 : 4,128.84 = 1,292.76 : x
  2. Step 2: Convert to fraction form
    2,754/4,128.84 = 1,292.76/x
  3. Step 3: Cross multiply
    2,754x = 4,128.84 × 1,292.76
  4. Step 4: Simplify right side
    2,754x = 5,337,599.20
  5. Step 5: Solve for x
    x = 5,337,599.20/2,754
  6. Step 6: Final answer
    x = 1,938.13

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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.