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Finding the Fourth Proportional to 15,072, 20,799.36 and 9,184

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Solution

The fourth proportional to 15,072, 20,799.36 and 9,184 is: 12,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072 : 20,799.36 = 9,184 : x
  2. Step 2: Convert to fraction form
    15,072/20,799.36 = 9,184/x
  3. Step 3: Cross multiply
    15,072x = 20,799.36 × 9,184
  4. Step 4: Simplify right side
    15,072x = 191,021,322.24
  5. Step 5: Solve for x
    x = 191,021,322.24/15,072
  6. Step 6: Final answer
    x = 12,673.92

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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.