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Finding the Fourth Proportional to 10,040.80, 13,859.28 and 6,504.24

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Solution

The fourth proportional to 10,040.80, 13,859.28 and 6,504.24 is: 8,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.80 : 13,859.28 = 6,504.24 : x
  2. Step 2: Convert to fraction form
    10,040.80/13,859.28 = 6,504.24/x
  3. Step 3: Cross multiply
    10,040.80x = 13,859.28 × 6,504.24
  4. Step 4: Simplify right side
    10,040.80x = 90,144,083.35
  5. Step 5: Solve for x
    x = 90,144,083.35/10,040.80
  6. Step 6: Final answer
    x = 8,977.78

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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.