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Finding the Fourth Proportional to 5,091.68, 7,640.04 and 3,757.52

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Solution

The fourth proportional to 5,091.68, 7,640.04 and 3,757.52 is: 5,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.68 : 7,640.04 = 3,757.52 : x
  2. Step 2: Convert to fraction form
    5,091.68/7,640.04 = 3,757.52/x
  3. Step 3: Cross multiply
    5,091.68x = 7,640.04 × 3,757.52
  4. Step 4: Simplify right side
    5,091.68x = 28,707,603.10
  5. Step 5: Solve for x
    x = 28,707,603.10/5,091.68
  6. Step 6: Final answer
    x = 5,638.14

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1.5x scale

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.