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Finding the Fourth Proportional to 14,609.25, 20,162.25 and 8,947.74

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Solution

The fourth proportional to 14,609.25, 20,162.25 and 8,947.74 is: 12,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.25 : 20,162.25 = 8,947.74 : x
  2. Step 2: Convert to fraction form
    14,609.25/20,162.25 = 8,947.74/x
  3. Step 3: Cross multiply
    14,609.25x = 20,162.25 × 8,947.74
  4. Step 4: Simplify right side
    14,609.25x = 180,406,570.82
  5. Step 5: Solve for x
    x = 180,406,570.82/14,609.25
  6. Step 6: Final answer
    x = 12,348.79

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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.