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Finding the Fourth Proportional to 11,980.78, 17,957.67 and 5,318.53

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Solution

The fourth proportional to 11,980.78, 17,957.67 and 5,318.53 is: 7,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.78 : 17,957.67 = 5,318.53 : x
  2. Step 2: Convert to fraction form
    11,980.78/17,957.67 = 5,318.53/x
  3. Step 3: Cross multiply
    11,980.78x = 17,957.67 × 5,318.53
  4. Step 4: Simplify right side
    11,980.78x = 95,508,406.63
  5. Step 5: Solve for x
    x = 95,508,406.63/11,980.78
  6. Step 6: Final answer
    x = 7,971.80

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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.