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Finding the Fourth Proportional to 8,978.09, 13,448.77 and 7,318.13

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Solution

The fourth proportional to 8,978.09, 13,448.77 and 7,318.13 is: 10,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.09 : 13,448.77 = 7,318.13 : x
  2. Step 2: Convert to fraction form
    8,978.09/13,448.77 = 7,318.13/x
  3. Step 3: Cross multiply
    8,978.09x = 13,448.77 × 7,318.13
  4. Step 4: Simplify right side
    8,978.09x = 98,419,761.66
  5. Step 5: Solve for x
    x = 98,419,761.66/8,978.09
  6. Step 6: Final answer
    x = 10,962.22

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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.