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Finding the Fourth Proportional to 10,756.82, 14,842.80 and 6,040.19

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Solution

The fourth proportional to 10,756.82, 14,842.80 and 6,040.19 is: 8,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.82 : 14,842.80 = 6,040.19 : x
  2. Step 2: Convert to fraction form
    10,756.82/14,842.80 = 6,040.19/x
  3. Step 3: Cross multiply
    10,756.82x = 14,842.80 × 6,040.19
  4. Step 4: Simplify right side
    10,756.82x = 89,653,369.24
  5. Step 5: Solve for x
    x = 89,653,369.24/10,756.82
  6. Step 6: Final answer
    x = 8,334.56

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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.