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Finding the Fourth Proportional to 7,318.87, 10,978.31 and 3,426.01

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Solution

The fourth proportional to 7,318.87, 10,978.31 and 3,426.01 is: 5,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.87 : 10,978.31 = 3,426.01 : x
  2. Step 2: Convert to fraction form
    7,318.87/10,978.31 = 3,426.01/x
  3. Step 3: Cross multiply
    7,318.87x = 10,978.31 × 3,426.01
  4. Step 4: Simplify right side
    7,318.87x = 37,611,799.84
  5. Step 5: Solve for x
    x = 37,611,799.84/7,318.87
  6. Step 6: Final answer
    x = 5,139.02

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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.