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Finding the Fourth Proportional to 11,456.91, 15,823.44 and 9,679.41

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Solution

The fourth proportional to 11,456.91, 15,823.44 and 9,679.41 is: 13,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.91 : 15,823.44 = 9,679.41 : x
  2. Step 2: Convert to fraction form
    11,456.91/15,823.44 = 9,679.41/x
  3. Step 3: Cross multiply
    11,456.91x = 15,823.44 × 9,679.41
  4. Step 4: Simplify right side
    11,456.91x = 153,161,563.37
  5. Step 5: Solve for x
    x = 153,161,563.37/11,456.91
  6. Step 6: Final answer
    x = 13,368.49

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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.