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Finding the Fourth Proportional to 5,642.04, 7,786.98 and 3,877.68

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Solution

The fourth proportional to 5,642.04, 7,786.98 and 3,877.68 is: 5,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.04 : 7,786.98 = 3,877.68 : x
  2. Step 2: Convert to fraction form
    5,642.04/7,786.98 = 3,877.68/x
  3. Step 3: Cross multiply
    5,642.04x = 7,786.98 × 3,877.68
  4. Step 4: Simplify right side
    5,642.04x = 30,195,416.61
  5. Step 5: Solve for x
    x = 30,195,416.61/5,642.04
  6. Step 6: Final answer
    x = 5,351.86

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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.