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Finding the Fourth Proportional to 13,251.95, 18,287.69 and 7,284

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Solution

The fourth proportional to 13,251.95, 18,287.69 and 7,284 is: 10,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.95 : 18,287.69 = 7,284 : x
  2. Step 2: Convert to fraction form
    13,251.95/18,287.69 = 7,284/x
  3. Step 3: Cross multiply
    13,251.95x = 18,287.69 × 7,284
  4. Step 4: Simplify right side
    13,251.95x = 133,207,497.54
  5. Step 5: Solve for x
    x = 133,207,497.54/13,251.95
  6. Step 6: Final answer
    x = 10,051.92

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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.