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Finding the Fourth Proportional to 2,499.12, 3,750.12 and 1,038.96

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Solution

The fourth proportional to 2,499.12, 3,750.12 and 1,038.96 is: 1,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.12 : 3,750.12 = 1,038.96 : x
  2. Step 2: Convert to fraction form
    2,499.12/3,750.12 = 1,038.96/x
  3. Step 3: Cross multiply
    2,499.12x = 3,750.12 × 1,038.96
  4. Step 4: Simplify right side
    2,499.12x = 3,896,224.68
  5. Step 5: Solve for x
    x = 3,896,224.68/2,499.12
  6. Step 6: Final answer
    x = 1,559.04

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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.