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Finding the Fourth Proportional to 11,689.44, 17,528.40 and 9,742.56

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Solution

The fourth proportional to 11,689.44, 17,528.40 and 9,742.56 is: 14,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.44 : 17,528.40 = 9,742.56 : x
  2. Step 2: Convert to fraction form
    11,689.44/17,528.40 = 9,742.56/x
  3. Step 3: Cross multiply
    11,689.44x = 17,528.40 × 9,742.56
  4. Step 4: Simplify right side
    11,689.44x = 170,771,488.70
  5. Step 5: Solve for x
    x = 170,771,488.70/11,689.44
  6. Step 6: Final answer
    x = 14,609.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.