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Finding the Fourth Proportional to 7,167, 10,749.18 and 1,972.20

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Solution

The fourth proportional to 7,167, 10,749.18 and 1,972.20 is: 2,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167 : 10,749.18 = 1,972.20 : x
  2. Step 2: Convert to fraction form
    7,167/10,749.18 = 1,972.20/x
  3. Step 3: Cross multiply
    7,167x = 10,749.18 × 1,972.20
  4. Step 4: Simplify right side
    7,167x = 21,199,532.80
  5. Step 5: Solve for x
    x = 21,199,532.80/7,167
  6. Step 6: Final answer
    x = 2,957.94

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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.