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Finding the Fourth Proportional to 7,318.22, 10,978.30 and 2,386.14

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Solution

The fourth proportional to 7,318.22, 10,978.30 and 2,386.14 is: 3,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.22 : 10,978.30 = 2,386.14 : x
  2. Step 2: Convert to fraction form
    7,318.22/10,978.30 = 2,386.14/x
  3. Step 3: Cross multiply
    7,318.22x = 10,978.30 × 2,386.14
  4. Step 4: Simplify right side
    7,318.22x = 26,195,760.76
  5. Step 5: Solve for x
    x = 26,195,760.76/7,318.22
  6. Step 6: Final answer
    x = 3,579.53

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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.