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Finding the Fourth Proportional to 10,012.98, 15,019.32 and 3,443.78

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Solution

The fourth proportional to 10,012.98, 15,019.32 and 3,443.78 is: 5,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.98 : 15,019.32 = 3,443.78 : x
  2. Step 2: Convert to fraction form
    10,012.98/15,019.32 = 3,443.78/x
  3. Step 3: Cross multiply
    10,012.98x = 15,019.32 × 3,443.78
  4. Step 4: Simplify right side
    10,012.98x = 51,723,233.83
  5. Step 5: Solve for x
    x = 51,723,233.83/10,012.98
  6. Step 6: Final answer
    x = 5,165.62

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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.