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Finding the Fourth Proportional to 1,516.28, 2,092.47 and 853.12

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Solution

The fourth proportional to 1,516.28, 2,092.47 and 853.12 is: 1,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.28 : 2,092.47 = 853.12 : x
  2. Step 2: Convert to fraction form
    1,516.28/2,092.47 = 853.12/x
  3. Step 3: Cross multiply
    1,516.28x = 2,092.47 × 853.12
  4. Step 4: Simplify right side
    1,516.28x = 1,785,128.01
  5. Step 5: Solve for x
    x = 1,785,128.01/1,516.28
  6. Step 6: Final answer
    x = 1,177.31

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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.