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Finding the Fourth Proportional to 15,078, 20,812.32 and 10,110

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Solution

The fourth proportional to 15,078, 20,812.32 and 10,110 is: 13,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078 : 20,812.32 = 10,110 : x
  2. Step 2: Convert to fraction form
    15,078/20,812.32 = 10,110/x
  3. Step 3: Cross multiply
    15,078x = 20,812.32 × 10,110
  4. Step 4: Simplify right side
    15,078x = 210,412,555.20
  5. Step 5: Solve for x
    x = 210,412,555.20/15,078
  6. Step 6: Final answer
    x = 13,954.94

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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.