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Finding the Fourth Proportional to 5,642.13, 7,786.22 and 3,250.78

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Solution

The fourth proportional to 5,642.13, 7,786.22 and 3,250.78 is: 4,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.13 : 7,786.22 = 3,250.78 : x
  2. Step 2: Convert to fraction form
    5,642.13/7,786.22 = 3,250.78/x
  3. Step 3: Cross multiply
    5,642.13x = 7,786.22 × 3,250.78
  4. Step 4: Simplify right side
    5,642.13x = 25,311,307.72
  5. Step 5: Solve for x
    x = 25,311,307.72/5,642.13
  6. Step 6: Final answer
    x = 4,486.13

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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.