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Finding the Fourth Proportional to 6,652.14, 9,979.29 and 1,972.61

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Solution

The fourth proportional to 6,652.14, 9,979.29 and 1,972.61 is: 2,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.14 : 9,979.29 = 1,972.61 : x
  2. Step 2: Convert to fraction form
    6,652.14/9,979.29 = 1,972.61/x
  3. Step 3: Cross multiply
    6,652.14x = 9,979.29 × 1,972.61
  4. Step 4: Simplify right side
    6,652.14x = 19,685,197.35
  5. Step 5: Solve for x
    x = 19,685,197.35/6,652.14
  6. Step 6: Final answer
    x = 2,959.23

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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.