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Finding the Fourth Proportional to 10,003.81, 15,004 and 4,158.85

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Solution

The fourth proportional to 10,003.81, 15,004 and 4,158.85 is: 6,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.81 : 15,004 = 4,158.85 : x
  2. Step 2: Convert to fraction form
    10,003.81/15,004 = 4,158.85/x
  3. Step 3: Cross multiply
    10,003.81x = 15,004 × 4,158.85
  4. Step 4: Simplify right side
    10,003.81x = 62,399,385.40
  5. Step 5: Solve for x
    x = 62,399,385.40/10,003.81
  6. Step 6: Final answer
    x = 6,237.56

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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.