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Finding the Fourth Proportional to 2,862.61, 4,294.82 and 1,013.65

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Solution

The fourth proportional to 2,862.61, 4,294.82 and 1,013.65 is: 1,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.61 : 4,294.82 = 1,013.65 : x
  2. Step 2: Convert to fraction form
    2,862.61/4,294.82 = 1,013.65/x
  3. Step 3: Cross multiply
    2,862.61x = 4,294.82 × 1,013.65
  4. Step 4: Simplify right side
    2,862.61x = 4,353,444.29
  5. Step 5: Solve for x
    x = 4,353,444.29/2,862.61
  6. Step 6: Final answer
    x = 1,520.80

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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.