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Finding the Fourth Proportional to 12,302.22, 16,979.61 and 7,825.14

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Solution

The fourth proportional to 12,302.22, 16,979.61 and 7,825.14 is: 10,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.22 : 16,979.61 = 7,825.14 : x
  2. Step 2: Convert to fraction form
    12,302.22/16,979.61 = 7,825.14/x
  3. Step 3: Cross multiply
    12,302.22x = 16,979.61 × 7,825.14
  4. Step 4: Simplify right side
    12,302.22x = 132,867,825.40
  5. Step 5: Solve for x
    x = 132,867,825.40/12,302.22
  6. Step 6: Final answer
    x = 10,800.31

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1.5x scale

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.