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Finding the Fourth Proportional to 6,138.48, 9,160.53 and 6,103.42

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Solution

The fourth proportional to 6,138.48, 9,160.53 and 6,103.42 is: 9,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.48 : 9,160.53 = 6,103.42 : x
  2. Step 2: Convert to fraction form
    6,138.48/9,160.53 = 6,103.42/x
  3. Step 3: Cross multiply
    6,138.48x = 9,160.53 × 6,103.42
  4. Step 4: Simplify right side
    6,138.48x = 55,910,562.01
  5. Step 5: Solve for x
    x = 55,910,562.01/6,138.48
  6. Step 6: Final answer
    x = 9,108.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.