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Finding the Fourth Proportional to 1,516.11, 2,092.28 and 853.17

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Solution

The fourth proportional to 1,516.11, 2,092.28 and 853.17 is: 1,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.11 : 2,092.28 = 853.17 : x
  2. Step 2: Convert to fraction form
    1,516.11/2,092.28 = 853.17/x
  3. Step 3: Cross multiply
    1,516.11x = 2,092.28 × 853.17
  4. Step 4: Simplify right side
    1,516.11x = 1,785,066.26
  5. Step 5: Solve for x
    x = 1,785,066.26/1,516.11
  6. Step 6: Final answer
    x = 1,177.40

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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.