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Finding the Fourth Proportional to 11,848.80, 17,744.40 and 8,911.20

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Solution

The fourth proportional to 11,848.80, 17,744.40 and 8,911.20 is: 13,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.80 : 17,744.40 = 8,911.20 : x
  2. Step 2: Convert to fraction form
    11,848.80/17,744.40 = 8,911.20/x
  3. Step 3: Cross multiply
    11,848.80x = 17,744.40 × 8,911.20
  4. Step 4: Simplify right side
    11,848.80x = 158,123,897.28
  5. Step 5: Solve for x
    x = 158,123,897.28/11,848.80
  6. Step 6: Final answer
    x = 13,345.14

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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.