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Finding the Fourth Proportional to 13,446.68, 18,554.24 and 7,478.20

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Solution

The fourth proportional to 13,446.68, 18,554.24 and 7,478.20 is: 10,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.68 : 18,554.24 = 7,478.20 : x
  2. Step 2: Convert to fraction form
    13,446.68/18,554.24 = 7,478.20/x
  3. Step 3: Cross multiply
    13,446.68x = 18,554.24 × 7,478.20
  4. Step 4: Simplify right side
    13,446.68x = 138,752,317.57
  5. Step 5: Solve for x
    x = 138,752,317.57/13,446.68
  6. Step 6: Final answer
    x = 10,318.70

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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.