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Finding the Fourth Proportional to 12,209.54, 16,856.51 and 7,967.97

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Solution

The fourth proportional to 12,209.54, 16,856.51 and 7,967.97 is: 11,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.54 : 16,856.51 = 7,967.97 : x
  2. Step 2: Convert to fraction form
    12,209.54/16,856.51 = 7,967.97/x
  3. Step 3: Cross multiply
    12,209.54x = 16,856.51 × 7,967.97
  4. Step 4: Simplify right side
    12,209.54x = 134,312,126.14
  5. Step 5: Solve for x
    x = 134,312,126.14/12,209.54
  6. Step 6: Final answer
    x = 11,000.59

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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.