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Finding the Fourth Proportional to 1,902.94, 2,854.75 and 862.90

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Solution

The fourth proportional to 1,902.94, 2,854.75 and 862.90 is: 1,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.94 : 2,854.75 = 862.90 : x
  2. Step 2: Convert to fraction form
    1,902.94/2,854.75 = 862.90/x
  3. Step 3: Cross multiply
    1,902.94x = 2,854.75 × 862.90
  4. Step 4: Simplify right side
    1,902.94x = 2,463,354.48
  5. Step 5: Solve for x
    x = 2,463,354.48/1,902.94
  6. Step 6: Final answer
    x = 1,294.50

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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.