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Finding the Fourth Proportional to 2,342.84, 3,512.04 and 881.68

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Solution

The fourth proportional to 2,342.84, 3,512.04 and 881.68 is: 1,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.84 : 3,512.04 = 881.68 : x
  2. Step 2: Convert to fraction form
    2,342.84/3,512.04 = 881.68/x
  3. Step 3: Cross multiply
    2,342.84x = 3,512.04 × 881.68
  4. Step 4: Simplify right side
    2,342.84x = 3,096,495.43
  5. Step 5: Solve for x
    x = 3,096,495.43/2,342.84
  6. Step 6: Final answer
    x = 1,321.68

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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.