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Finding the Fourth Proportional to 2,101.43, 3,152.15 and 714.92

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Solution

The fourth proportional to 2,101.43, 3,152.15 and 714.92 is: 1,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.43 : 3,152.15 = 714.92 : x
  2. Step 2: Convert to fraction form
    2,101.43/3,152.15 = 714.92/x
  3. Step 3: Cross multiply
    2,101.43x = 3,152.15 × 714.92
  4. Step 4: Simplify right side
    2,101.43x = 2,253,515.74
  5. Step 5: Solve for x
    x = 2,253,515.74/2,101.43
  6. Step 6: Final answer
    x = 1,072.38

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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.