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Finding the Fourth Proportional to 2,087.76, 3,132.12 and 701.28

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Solution

The fourth proportional to 2,087.76, 3,132.12 and 701.28 is: 1,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.76 : 3,132.12 = 701.28 : x
  2. Step 2: Convert to fraction form
    2,087.76/3,132.12 = 701.28/x
  3. Step 3: Cross multiply
    2,087.76x = 3,132.12 × 701.28
  4. Step 4: Simplify right side
    2,087.76x = 2,196,493.11
  5. Step 5: Solve for x
    x = 2,196,493.11/2,087.76
  6. Step 6: Final answer
    x = 1,052.08

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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.