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Finding the Fourth Proportional to 3,734.96, 5,603.12 and 1,542.50

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Solution

The fourth proportional to 3,734.96, 5,603.12 and 1,542.50 is: 2,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.96 : 5,603.12 = 1,542.50 : x
  2. Step 2: Convert to fraction form
    3,734.96/5,603.12 = 1,542.50/x
  3. Step 3: Cross multiply
    3,734.96x = 5,603.12 × 1,542.50
  4. Step 4: Simplify right side
    3,734.96x = 8,642,776.87
  5. Step 5: Solve for x
    x = 8,642,776.87/3,734.96
  6. Step 6: Final answer
    x = 2,314.02

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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.