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Finding the Fourth Proportional to 7,321.90, 10,978.80 and 2,934.40

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Solution

The fourth proportional to 7,321.90, 10,978.80 and 2,934.40 is: 4,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.90 : 10,978.80 = 2,934.40 : x
  2. Step 2: Convert to fraction form
    7,321.90/10,978.80 = 2,934.40/x
  3. Step 3: Cross multiply
    7,321.90x = 10,978.80 × 2,934.40
  4. Step 4: Simplify right side
    7,321.90x = 32,216,190.72
  5. Step 5: Solve for x
    x = 32,216,190.72/7,321.90
  6. Step 6: Final answer
    x = 4,399.98

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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.