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Finding the Fourth Proportional to 6,990.52, 10,478.42 and 3,289.80

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Solution

The fourth proportional to 6,990.52, 10,478.42 and 3,289.80 is: 4,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.52 : 10,478.42 = 3,289.80 : x
  2. Step 2: Convert to fraction form
    6,990.52/10,478.42 = 3,289.80/x
  3. Step 3: Cross multiply
    6,990.52x = 10,478.42 × 3,289.80
  4. Step 4: Simplify right side
    6,990.52x = 34,471,906.12
  5. Step 5: Solve for x
    x = 34,471,906.12/6,990.52
  6. Step 6: Final answer
    x = 4,931.24

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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.