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Finding the Fourth Proportional to 11,491.46, 15,864.26 and 7,734.38

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Solution

The fourth proportional to 11,491.46, 15,864.26 and 7,734.38 is: 10,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.46 : 15,864.26 = 7,734.38 : x
  2. Step 2: Convert to fraction form
    11,491.46/15,864.26 = 7,734.38/x
  3. Step 3: Cross multiply
    11,491.46x = 15,864.26 × 7,734.38
  4. Step 4: Simplify right side
    11,491.46x = 122,700,215.26
  5. Step 5: Solve for x
    x = 122,700,215.26/11,491.46
  6. Step 6: Final answer
    x = 10,677.51

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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.