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Finding the Fourth Proportional to 11,397.84, 15,723.38 and 7,622.19

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Solution

The fourth proportional to 11,397.84, 15,723.38 and 7,622.19 is: 10,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.84 : 15,723.38 = 7,622.19 : x
  2. Step 2: Convert to fraction form
    11,397.84/15,723.38 = 7,622.19/x
  3. Step 3: Cross multiply
    11,397.84x = 15,723.38 × 7,622.19
  4. Step 4: Simplify right side
    11,397.84x = 119,846,551.69
  5. Step 5: Solve for x
    x = 119,846,551.69/11,397.84
  6. Step 6: Final answer
    x = 10,514.85

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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.