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Finding the Fourth Proportional to 2,138.99, 2,951.02 and 1,254.47

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Solution

The fourth proportional to 2,138.99, 2,951.02 and 1,254.47 is: 1,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.99 : 2,951.02 = 1,254.47 : x
  2. Step 2: Convert to fraction form
    2,138.99/2,951.02 = 1,254.47/x
  3. Step 3: Cross multiply
    2,138.99x = 2,951.02 × 1,254.47
  4. Step 4: Simplify right side
    2,138.99x = 3,701,966.06
  5. Step 5: Solve for x
    x = 3,701,966.06/2,138.99
  6. Step 6: Final answer
    x = 1,730.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.