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Finding the Fourth Proportional to 10,802.13, 14,907.69 and 6,086.42

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Solution

The fourth proportional to 10,802.13, 14,907.69 and 6,086.42 is: 8,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.13 : 14,907.69 = 6,086.42 : x
  2. Step 2: Convert to fraction form
    10,802.13/14,907.69 = 6,086.42/x
  3. Step 3: Cross multiply
    10,802.13x = 14,907.69 × 6,086.42
  4. Step 4: Simplify right side
    10,802.13x = 90,734,462.57
  5. Step 5: Solve for x
    x = 90,734,462.57/10,802.13
  6. Step 6: Final answer
    x = 8,399.68

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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.