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Finding the Fourth Proportional to 11,212.47, 15,472.79 and 6,738.69

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Solution

The fourth proportional to 11,212.47, 15,472.79 and 6,738.69 is: 9,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.47 : 15,472.79 = 6,738.69 : x
  2. Step 2: Convert to fraction form
    11,212.47/15,472.79 = 6,738.69/x
  3. Step 3: Cross multiply
    11,212.47x = 15,472.79 × 6,738.69
  4. Step 4: Simplify right side
    11,212.47x = 104,266,301.55
  5. Step 5: Solve for x
    x = 104,266,301.55/11,212.47
  6. Step 6: Final answer
    x = 9,299.14

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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.