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Finding the Fourth Proportional to 11,881.30, 17,809.80 and 6,948.40

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Solution

The fourth proportional to 11,881.30, 17,809.80 and 6,948.40 is: 10,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.30 : 17,809.80 = 6,948.40 : x
  2. Step 2: Convert to fraction form
    11,881.30/17,809.80 = 6,948.40/x
  3. Step 3: Cross multiply
    11,881.30x = 17,809.80 × 6,948.40
  4. Step 4: Simplify right side
    11,881.30x = 123,749,614.32
  5. Step 5: Solve for x
    x = 123,749,614.32/11,881.30
  6. Step 6: Final answer
    x = 10,415.49

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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.