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Finding the Fourth Proportional to 2,603.28, 3,903.84 and 872.16

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Solution

The fourth proportional to 2,603.28, 3,903.84 and 872.16 is: 1,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.28 : 3,903.84 = 872.16 : x
  2. Step 2: Convert to fraction form
    2,603.28/3,903.84 = 872.16/x
  3. Step 3: Cross multiply
    2,603.28x = 3,903.84 × 872.16
  4. Step 4: Simplify right side
    2,603.28x = 3,404,773.09
  5. Step 5: Solve for x
    x = 3,404,773.09/2,603.28
  6. Step 6: Final answer
    x = 1,307.88

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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.