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Finding the Fourth Proportional to 11,556, 15,947.28 and 6,588

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Solution

The fourth proportional to 11,556, 15,947.28 and 6,588 is: 9,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 15,947.28 = 6,588 : x
  2. Step 2: Convert to fraction form
    11,556/15,947.28 = 6,588/x
  3. Step 3: Cross multiply
    11,556x = 15,947.28 × 6,588
  4. Step 4: Simplify right side
    11,556x = 105,060,680.64
  5. Step 5: Solve for x
    x = 105,060,680.64/11,556
  6. Step 6: Final answer
    x = 9,091.44

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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.