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Finding the Fourth Proportional to 2,101.48, 3,152.56 and 714.90

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Solution

The fourth proportional to 2,101.48, 3,152.56 and 714.90 is: 1,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.48 : 3,152.56 = 714.90 : x
  2. Step 2: Convert to fraction form
    2,101.48/3,152.56 = 714.90/x
  3. Step 3: Cross multiply
    2,101.48x = 3,152.56 × 714.90
  4. Step 4: Simplify right side
    2,101.48x = 2,253,765.14
  5. Step 5: Solve for x
    x = 2,253,765.14/2,101.48
  6. Step 6: Final answer
    x = 1,072.47

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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.