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Finding the Fourth Proportional to 3,834.55, 5,295 and 3,637.72

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Solution

The fourth proportional to 3,834.55, 5,295 and 3,637.72 is: 5,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.55 : 5,295 = 3,637.72 : x
  2. Step 2: Convert to fraction form
    3,834.55/5,295 = 3,637.72/x
  3. Step 3: Cross multiply
    3,834.55x = 5,295 × 3,637.72
  4. Step 4: Simplify right side
    3,834.55x = 19,261,727.40
  5. Step 5: Solve for x
    x = 19,261,727.40/3,834.55
  6. Step 6: Final answer
    x = 5,023.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.