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Finding the Fourth Proportional to 6,978.12, 10,465.56 and 3,282.90

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Solution

The fourth proportional to 6,978.12, 10,465.56 and 3,282.90 is: 4,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.12 : 10,465.56 = 3,282.90 : x
  2. Step 2: Convert to fraction form
    6,978.12/10,465.56 = 3,282.90/x
  3. Step 3: Cross multiply
    6,978.12x = 10,465.56 × 3,282.90
  4. Step 4: Simplify right side
    6,978.12x = 34,357,386.92
  5. Step 5: Solve for x
    x = 34,357,386.92/6,978.12
  6. Step 6: Final answer
    x = 4,923.59

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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.