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Finding the Fourth Proportional to 7,642.10, 11,489.07 and 6,101.78

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Solution

The fourth proportional to 7,642.10, 11,489.07 and 6,101.78 is: 9,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.10 : 11,489.07 = 6,101.78 : x
  2. Step 2: Convert to fraction form
    7,642.10/11,489.07 = 6,101.78/x
  3. Step 3: Cross multiply
    7,642.10x = 11,489.07 × 6,101.78
  4. Step 4: Simplify right side
    7,642.10x = 70,103,777.54
  5. Step 5: Solve for x
    x = 70,103,777.54/7,642.10
  6. Step 6: Final answer
    x = 9,173.37

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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.