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Finding the Fourth Proportional to 2,175.66, 3,261.18 and 714.42

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Solution

The fourth proportional to 2,175.66, 3,261.18 and 714.42 is: 1,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.66 : 3,261.18 = 714.42 : x
  2. Step 2: Convert to fraction form
    2,175.66/3,261.18 = 714.42/x
  3. Step 3: Cross multiply
    2,175.66x = 3,261.18 × 714.42
  4. Step 4: Simplify right side
    2,175.66x = 2,329,852.22
  5. Step 5: Solve for x
    x = 2,329,852.22/2,175.66
  6. Step 6: Final answer
    x = 1,070.87

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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.