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Finding the Fourth Proportional to 5,603.80, 8,402.88 and 3,264.56

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Solution

The fourth proportional to 5,603.80, 8,402.88 and 3,264.56 is: 4,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.80 : 8,402.88 = 3,264.56 : x
  2. Step 2: Convert to fraction form
    5,603.80/8,402.88 = 3,264.56/x
  3. Step 3: Cross multiply
    5,603.80x = 8,402.88 × 3,264.56
  4. Step 4: Simplify right side
    5,603.80x = 27,431,705.93
  5. Step 5: Solve for x
    x = 27,431,705.93/5,603.80
  6. Step 6: Final answer
    x = 4,895.20

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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.