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Finding the Fourth Proportional to 10,003.05, 15,006.20 and 5,005.62

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Solution

The fourth proportional to 10,003.05, 15,006.20 and 5,005.62 is: 7,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.05 : 15,006.20 = 5,005.62 : x
  2. Step 2: Convert to fraction form
    10,003.05/15,006.20 = 5,005.62/x
  3. Step 3: Cross multiply
    10,003.05x = 15,006.20 × 5,005.62
  4. Step 4: Simplify right side
    10,003.05x = 75,115,334.84
  5. Step 5: Solve for x
    x = 75,115,334.84/10,003.05
  6. Step 6: Final answer
    x = 7,509.24

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1.5x scale

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.