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Finding the Fourth Proportional to 10,235.68, 15,351.82 and 2,840.92

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Solution

The fourth proportional to 10,235.68, 15,351.82 and 2,840.92 is: 4,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.68 : 15,351.82 = 2,840.92 : x
  2. Step 2: Convert to fraction form
    10,235.68/15,351.82 = 2,840.92/x
  3. Step 3: Cross multiply
    10,235.68x = 15,351.82 × 2,840.92
  4. Step 4: Simplify right side
    10,235.68x = 43,613,292.47
  5. Step 5: Solve for x
    x = 43,613,292.47/10,235.68
  6. Step 6: Final answer
    x = 4,260.91

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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.