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Finding the Fourth Proportional to 7,003.70, 10,509.24 and 3,108.50

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Solution

The fourth proportional to 7,003.70, 10,509.24 and 3,108.50 is: 4,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.70 : 10,509.24 = 3,108.50 : x
  2. Step 2: Convert to fraction form
    7,003.70/10,509.24 = 3,108.50/x
  3. Step 3: Cross multiply
    7,003.70x = 10,509.24 × 3,108.50
  4. Step 4: Simplify right side
    7,003.70x = 32,667,972.54
  5. Step 5: Solve for x
    x = 32,667,972.54/7,003.70
  6. Step 6: Final answer
    x = 4,664.39

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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.