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Finding the Fourth Proportional to 6,853.54, 10,220.14 and 6,791.17

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Solution

The fourth proportional to 6,853.54, 10,220.14 and 6,791.17 is: 10,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.54 : 10,220.14 = 6,791.17 : x
  2. Step 2: Convert to fraction form
    6,853.54/10,220.14 = 6,791.17/x
  3. Step 3: Cross multiply
    6,853.54x = 10,220.14 × 6,791.17
  4. Step 4: Simplify right side
    6,853.54x = 69,406,708.16
  5. Step 5: Solve for x
    x = 69,406,708.16/6,853.54
  6. Step 6: Final answer
    x = 10,127.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.