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Finding the Fourth Proportional to 2,750.62, 4,127.29 and 1,289.88

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Solution

The fourth proportional to 2,750.62, 4,127.29 and 1,289.88 is: 1,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.62 : 4,127.29 = 1,289.88 : x
  2. Step 2: Convert to fraction form
    2,750.62/4,127.29 = 1,289.88/x
  3. Step 3: Cross multiply
    2,750.62x = 4,127.29 × 1,289.88
  4. Step 4: Simplify right side
    2,750.62x = 5,323,702.38
  5. Step 5: Solve for x
    x = 5,323,702.38/2,750.62
  6. Step 6: Final answer
    x = 1,935.46

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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.