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Finding the Fourth Proportional to 2,175.35, 3,262.68 and 714.49

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Solution

The fourth proportional to 2,175.35, 3,262.68 and 714.49 is: 1,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.35 : 3,262.68 = 714.49 : x
  2. Step 2: Convert to fraction form
    2,175.35/3,262.68 = 714.49/x
  3. Step 3: Cross multiply
    2,175.35x = 3,262.68 × 714.49
  4. Step 4: Simplify right side
    2,175.35x = 2,331,144.08
  5. Step 5: Solve for x
    x = 2,331,144.08/2,175.35
  6. Step 6: Final answer
    x = 1,071.62

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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.