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Finding the Fourth Proportional to 13,695.57, 20,542.53 and 3,834.63

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Solution

The fourth proportional to 13,695.57, 20,542.53 and 3,834.63 is: 5,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.57 : 20,542.53 = 3,834.63 : x
  2. Step 2: Convert to fraction form
    13,695.57/20,542.53 = 3,834.63/x
  3. Step 3: Cross multiply
    13,695.57x = 20,542.53 × 3,834.63
  4. Step 4: Simplify right side
    13,695.57x = 78,773,001.81
  5. Step 5: Solve for x
    x = 78,773,001.81/13,695.57
  6. Step 6: Final answer
    x = 5,751.71

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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.