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Finding the Fourth Proportional to 9,892, 14,838 and 2,966.50

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Solution

The fourth proportional to 9,892, 14,838 and 2,966.50 is: 4,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892 : 14,838 = 2,966.50 : x
  2. Step 2: Convert to fraction form
    9,892/14,838 = 2,966.50/x
  3. Step 3: Cross multiply
    9,892x = 14,838 × 2,966.50
  4. Step 4: Simplify right side
    9,892x = 44,016,927
  5. Step 5: Solve for x
    x = 44,016,927/9,892
  6. Step 6: Final answer
    x = 4,449.75

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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.