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Finding the Fourth Proportional to 10,141.74, 15,216.12 and 7,242.66

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Solution

The fourth proportional to 10,141.74, 15,216.12 and 7,242.66 is: 10,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.74 : 15,216.12 = 7,242.66 : x
  2. Step 2: Convert to fraction form
    10,141.74/15,216.12 = 7,242.66/x
  3. Step 3: Cross multiply
    10,141.74x = 15,216.12 × 7,242.66
  4. Step 4: Simplify right side
    10,141.74x = 110,205,183.68
  5. Step 5: Solve for x
    x = 110,205,183.68/10,141.74
  6. Step 6: Final answer
    x = 10,866.50

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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.