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Finding the Fourth Proportional to 10,422.92, 15,628.71 and 3,758.51

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Solution

The fourth proportional to 10,422.92, 15,628.71 and 3,758.51 is: 5,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.92 : 15,628.71 = 3,758.51 : x
  2. Step 2: Convert to fraction form
    10,422.92/15,628.71 = 3,758.51/x
  3. Step 3: Cross multiply
    10,422.92x = 15,628.71 × 3,758.51
  4. Step 4: Simplify right side
    10,422.92x = 58,740,662.82
  5. Step 5: Solve for x
    x = 58,740,662.82/10,422.92
  6. Step 6: Final answer
    x = 5,635.72

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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.