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Finding the Fourth Proportional to 15,164.89, 20,922.61 and 8,449.23

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Solution

The fourth proportional to 15,164.89, 20,922.61 and 8,449.23 is: 11,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.89 : 20,922.61 = 8,449.23 : x
  2. Step 2: Convert to fraction form
    15,164.89/20,922.61 = 8,449.23/x
  3. Step 3: Cross multiply
    15,164.89x = 20,922.61 × 8,449.23
  4. Step 4: Simplify right side
    15,164.89x = 176,779,944.09
  5. Step 5: Solve for x
    x = 176,779,944.09/15,164.89
  6. Step 6: Final answer
    x = 11,657.19

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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.