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Finding the Fourth Proportional to 15,446.68, 21,319.94 and 9,074

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Solution

The fourth proportional to 15,446.68, 21,319.94 and 9,074 is: 12,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446.68 : 21,319.94 = 9,074 : x
  2. Step 2: Convert to fraction form
    15,446.68/21,319.94 = 9,074/x
  3. Step 3: Cross multiply
    15,446.68x = 21,319.94 × 9,074
  4. Step 4: Simplify right side
    15,446.68x = 193,457,135.56
  5. Step 5: Solve for x
    x = 193,457,135.56/15,446.68
  6. Step 6: Final answer
    x = 12,524.19

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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.