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Finding the Fourth Proportional to 7,319.64, 10,978.12 and 1,982.92

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Solution

The fourth proportional to 7,319.64, 10,978.12 and 1,982.92 is: 2,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.64 : 10,978.12 = 1,982.92 : x
  2. Step 2: Convert to fraction form
    7,319.64/10,978.12 = 1,982.92/x
  3. Step 3: Cross multiply
    7,319.64x = 10,978.12 × 1,982.92
  4. Step 4: Simplify right side
    7,319.64x = 21,768,733.71
  5. Step 5: Solve for x
    x = 21,768,733.71/7,319.64
  6. Step 6: Final answer
    x = 2,974.02

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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.