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Finding the Fourth Proportional to 3,072.68, 4,609.78 and 881.58

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Solution

The fourth proportional to 3,072.68, 4,609.78 and 881.58 is: 1,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.68 : 4,609.78 = 881.58 : x
  2. Step 2: Convert to fraction form
    3,072.68/4,609.78 = 881.58/x
  3. Step 3: Cross multiply
    3,072.68x = 4,609.78 × 881.58
  4. Step 4: Simplify right side
    3,072.68x = 4,063,892.06
  5. Step 5: Solve for x
    x = 4,063,892.06/3,072.68
  6. Step 6: Final answer
    x = 1,322.59

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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.