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Finding the Fourth Proportional to 15,112.34, 22,642.92 and 9,256.72

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Solution

The fourth proportional to 15,112.34, 22,642.92 and 9,256.72 is: 13,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,112.34 : 22,642.92 = 9,256.72 : x
  2. Step 2: Convert to fraction form
    15,112.34/22,642.92 = 9,256.72/x
  3. Step 3: Cross multiply
    15,112.34x = 22,642.92 × 9,256.72
  4. Step 4: Simplify right side
    15,112.34x = 209,599,170.42
  5. Step 5: Solve for x
    x = 209,599,170.42/15,112.34
  6. Step 6: Final answer
    x = 13,869.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.