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Finding the Fourth Proportional to 2,518.80, 3,778.08 and 875.28

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Solution

The fourth proportional to 2,518.80, 3,778.08 and 875.28 is: 1,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.80 : 3,778.08 = 875.28 : x
  2. Step 2: Convert to fraction form
    2,518.80/3,778.08 = 875.28/x
  3. Step 3: Cross multiply
    2,518.80x = 3,778.08 × 875.28
  4. Step 4: Simplify right side
    2,518.80x = 3,306,877.86
  5. Step 5: Solve for x
    x = 3,306,877.86/2,518.80
  6. Step 6: Final answer
    x = 1,312.88

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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.