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Finding the Fourth Proportional to 5,691.16, 7,853.50 and 3,207

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Solution

The fourth proportional to 5,691.16, 7,853.50 and 3,207 is: 4,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.16 : 7,853.50 = 3,207 : x
  2. Step 2: Convert to fraction form
    5,691.16/7,853.50 = 3,207/x
  3. Step 3: Cross multiply
    5,691.16x = 7,853.50 × 3,207
  4. Step 4: Simplify right side
    5,691.16x = 25,186,174.50
  5. Step 5: Solve for x
    x = 25,186,174.50/5,691.16
  6. Step 6: Final answer
    x = 4,425.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.