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Finding the Fourth Proportional to 7,318.04, 10,978.12 and 2,386.46

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Solution

The fourth proportional to 7,318.04, 10,978.12 and 2,386.46 is: 3,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.04 : 10,978.12 = 2,386.46 : x
  2. Step 2: Convert to fraction form
    7,318.04/10,978.12 = 2,386.46/x
  3. Step 3: Cross multiply
    7,318.04x = 10,978.12 × 2,386.46
  4. Step 4: Simplify right side
    7,318.04x = 26,198,874.68
  5. Step 5: Solve for x
    x = 26,198,874.68/7,318.04
  6. Step 6: Final answer
    x = 3,580.04

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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.