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Finding the Fourth Proportional to 1,294.95, 1,929.92 and 1,292.89

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Solution

The fourth proportional to 1,294.95, 1,929.92 and 1,292.89 is: 1,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.95 : 1,929.92 = 1,292.89 : x
  2. Step 2: Convert to fraction form
    1,294.95/1,929.92 = 1,292.89/x
  3. Step 3: Cross multiply
    1,294.95x = 1,929.92 × 1,292.89
  4. Step 4: Simplify right side
    1,294.95x = 2,495,164.62
  5. Step 5: Solve for x
    x = 2,495,164.62/1,294.95
  6. Step 6: Final answer
    x = 1,926.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.