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Finding the Fourth Proportional to 11,980.19, 17,978.45 and 6,140.90

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Solution

The fourth proportional to 11,980.19, 17,978.45 and 6,140.90 is: 9,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.19 : 17,978.45 = 6,140.90 : x
  2. Step 2: Convert to fraction form
    11,980.19/17,978.45 = 6,140.90/x
  3. Step 3: Cross multiply
    11,980.19x = 17,978.45 × 6,140.90
  4. Step 4: Simplify right side
    11,980.19x = 110,403,743.01
  5. Step 5: Solve for x
    x = 110,403,743.01/11,980.19
  6. Step 6: Final answer
    x = 9,215.53

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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.