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Finding the Fourth Proportional to 10,003.50, 15,005.16 and 3,340.50

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Solution

The fourth proportional to 10,003.50, 15,005.16 and 3,340.50 is: 5,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.50 : 15,005.16 = 3,340.50 : x
  2. Step 2: Convert to fraction form
    10,003.50/15,005.16 = 3,340.50/x
  3. Step 3: Cross multiply
    10,003.50x = 15,005.16 × 3,340.50
  4. Step 4: Simplify right side
    10,003.50x = 50,124,736.98
  5. Step 5: Solve for x
    x = 50,124,736.98/10,003.50
  6. Step 6: Final answer
    x = 5,010.72

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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.