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Finding the Fourth Proportional to 10,029.33, 13,840.92 and 6,051.78

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Solution

The fourth proportional to 10,029.33, 13,840.92 and 6,051.78 is: 8,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.33 : 13,840.92 = 6,051.78 : x
  2. Step 2: Convert to fraction form
    10,029.33/13,840.92 = 6,051.78/x
  3. Step 3: Cross multiply
    10,029.33x = 13,840.92 × 6,051.78
  4. Step 4: Simplify right side
    10,029.33x = 83,762,202.84
  5. Step 5: Solve for x
    x = 83,762,202.84/10,029.33
  6. Step 6: Final answer
    x = 8,351.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.