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Finding the Fourth Proportional to 2,127.40, 3,188.40 and 1,029.40

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Solution

The fourth proportional to 2,127.40, 3,188.40 and 1,029.40 is: 1,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.40 : 3,188.40 = 1,029.40 : x
  2. Step 2: Convert to fraction form
    2,127.40/3,188.40 = 1,029.40/x
  3. Step 3: Cross multiply
    2,127.40x = 3,188.40 × 1,029.40
  4. Step 4: Simplify right side
    2,127.40x = 3,282,138.96
  5. Step 5: Solve for x
    x = 3,282,138.96/2,127.40
  6. Step 6: Final answer
    x = 1,542.79

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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.