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Finding the Fourth Proportional to 2,341.90, 3,512.85 and 881.38

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Solution

The fourth proportional to 2,341.90, 3,512.85 and 881.38 is: 1,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.90 : 3,512.85 = 881.38 : x
  2. Step 2: Convert to fraction form
    2,341.90/3,512.85 = 881.38/x
  3. Step 3: Cross multiply
    2,341.90x = 3,512.85 × 881.38
  4. Step 4: Simplify right side
    2,341.90x = 3,096,155.73
  5. Step 5: Solve for x
    x = 3,096,155.73/2,341.90
  6. Step 6: Final answer
    x = 1,322.07

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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.