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Finding the Fourth Proportional to 10,182.63, 15,251.38 and 7,825.29

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Solution

The fourth proportional to 10,182.63, 15,251.38 and 7,825.29 is: 11,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.63 : 15,251.38 = 7,825.29 : x
  2. Step 2: Convert to fraction form
    10,182.63/15,251.38 = 7,825.29/x
  3. Step 3: Cross multiply
    10,182.63x = 15,251.38 × 7,825.29
  4. Step 4: Simplify right side
    10,182.63x = 119,346,471.40
  5. Step 5: Solve for x
    x = 119,346,471.40/10,182.63
  6. Step 6: Final answer
    x = 11,720.59

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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.