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Finding the Fourth Proportional to 2,872.61, 4,308.90 and 1,023.80

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Solution

The fourth proportional to 2,872.61, 4,308.90 and 1,023.80 is: 1,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.61 : 4,308.90 = 1,023.80 : x
  2. Step 2: Convert to fraction form
    2,872.61/4,308.90 = 1,023.80/x
  3. Step 3: Cross multiply
    2,872.61x = 4,308.90 × 1,023.80
  4. Step 4: Simplify right side
    2,872.61x = 4,411,432.20
  5. Step 5: Solve for x
    x = 4,411,432.20/2,872.61
  6. Step 6: Final answer
    x = 1,535.69

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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.