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Finding the Fourth Proportional to 11,039.68, 15,232.56 and 7,057.76

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Solution

The fourth proportional to 11,039.68, 15,232.56 and 7,057.76 is: 9,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,039.68 : 15,232.56 = 7,057.76 : x
  2. Step 2: Convert to fraction form
    11,039.68/15,232.56 = 7,057.76/x
  3. Step 3: Cross multiply
    11,039.68x = 15,232.56 × 7,057.76
  4. Step 4: Simplify right side
    11,039.68x = 107,507,752.67
  5. Step 5: Solve for x
    x = 107,507,752.67/11,039.68
  6. Step 6: Final answer
    x = 9,738.30

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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.