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Finding the Fourth Proportional to 2,122.52, 2,929.04 and 1,294.52

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Solution

The fourth proportional to 2,122.52, 2,929.04 and 1,294.52 is: 1,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.52 : 2,929.04 = 1,294.52 : x
  2. Step 2: Convert to fraction form
    2,122.52/2,929.04 = 1,294.52/x
  3. Step 3: Cross multiply
    2,122.52x = 2,929.04 × 1,294.52
  4. Step 4: Simplify right side
    2,122.52x = 3,791,700.86
  5. Step 5: Solve for x
    x = 3,791,700.86/2,122.52
  6. Step 6: Final answer
    x = 1,786.41

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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.