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Finding the Fourth Proportional to 11,556, 15,940.80 and 7,081.92

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Solution

The fourth proportional to 11,556, 15,940.80 and 7,081.92 is: 9,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 15,940.80 = 7,081.92 : x
  2. Step 2: Convert to fraction form
    11,556/15,940.80 = 7,081.92/x
  3. Step 3: Cross multiply
    11,556x = 15,940.80 × 7,081.92
  4. Step 4: Simplify right side
    11,556x = 112,891,470.34
  5. Step 5: Solve for x
    x = 112,891,470.34/11,556
  6. Step 6: Final answer
    x = 9,769.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.