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Finding the Fourth Proportional to 7,129.50, 10,698.57 and 3,025.50

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Solution

The fourth proportional to 7,129.50, 10,698.57 and 3,025.50 is: 4,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.50 : 10,698.57 = 3,025.50 : x
  2. Step 2: Convert to fraction form
    7,129.50/10,698.57 = 3,025.50/x
  3. Step 3: Cross multiply
    7,129.50x = 10,698.57 × 3,025.50
  4. Step 4: Simplify right side
    7,129.50x = 32,368,523.54
  5. Step 5: Solve for x
    x = 32,368,523.54/7,129.50
  6. Step 6: Final answer
    x = 4,540.08

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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.