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Finding the Fourth Proportional to 3,178.67, 4,386.36 and 1,867.88

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Solution

The fourth proportional to 3,178.67, 4,386.36 and 1,867.88 is: 2,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.67 : 4,386.36 = 1,867.88 : x
  2. Step 2: Convert to fraction form
    3,178.67/4,386.36 = 1,867.88/x
  3. Step 3: Cross multiply
    3,178.67x = 4,386.36 × 1,867.88
  4. Step 4: Simplify right side
    3,178.67x = 8,193,194.12
  5. Step 5: Solve for x
    x = 8,193,194.12/3,178.67
  6. Step 6: Final answer
    x = 2,577.55

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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.