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Finding the Fourth Proportional to 2,138.69, 2,952.09 and 1,254.47

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Solution

The fourth proportional to 2,138.69, 2,952.09 and 1,254.47 is: 1,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.69 : 2,952.09 = 1,254.47 : x
  2. Step 2: Convert to fraction form
    2,138.69/2,952.09 = 1,254.47/x
  3. Step 3: Cross multiply
    2,138.69x = 2,952.09 × 1,254.47
  4. Step 4: Simplify right side
    2,138.69x = 3,703,308.34
  5. Step 5: Solve for x
    x = 3,703,308.34/2,138.69
  6. Step 6: Final answer
    x = 1,731.58

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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.