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Finding the Fourth Proportional to 10,791.38, 14,894.31 and 6,809.81

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Solution

The fourth proportional to 10,791.38, 14,894.31 and 6,809.81 is: 9,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.38 : 14,894.31 = 6,809.81 : x
  2. Step 2: Convert to fraction form
    10,791.38/14,894.31 = 6,809.81/x
  3. Step 3: Cross multiply
    10,791.38x = 14,894.31 × 6,809.81
  4. Step 4: Simplify right side
    10,791.38x = 101,427,421.18
  5. Step 5: Solve for x
    x = 101,427,421.18/10,791.38
  6. Step 6: Final answer
    x = 9,398.93

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1.5x scale

Why These Related Problems?

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