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Finding the Fourth Proportional to 2,862.78, 4,294.17 and 2,289.30

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Solution

The fourth proportional to 2,862.78, 4,294.17 and 2,289.30 is: 3,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.78 : 4,294.17 = 2,289.30 : x
  2. Step 2: Convert to fraction form
    2,862.78/4,294.17 = 2,289.30/x
  3. Step 3: Cross multiply
    2,862.78x = 4,294.17 × 2,289.30
  4. Step 4: Simplify right side
    2,862.78x = 9,830,643.38
  5. Step 5: Solve for x
    x = 9,830,643.38/2,862.78
  6. Step 6: Final answer
    x = 3,433.95

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1.5x scale

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.