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Finding the Fourth Proportional to 2,385.81, 3,577.65 and 742.21

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Solution

The fourth proportional to 2,385.81, 3,577.65 and 742.21 is: 1,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.81 : 3,577.65 = 742.21 : x
  2. Step 2: Convert to fraction form
    2,385.81/3,577.65 = 742.21/x
  3. Step 3: Cross multiply
    2,385.81x = 3,577.65 × 742.21
  4. Step 4: Simplify right side
    2,385.81x = 2,655,367.61
  5. Step 5: Solve for x
    x = 2,655,367.61/2,385.81
  6. Step 6: Final answer
    x = 1,112.98

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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.