Home / 1,516.17-2,092.37-853.14

Finding the Fourth Proportional to 1,516.17, 2,092.37 and 853.14

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Solution

The fourth proportional to 1,516.17, 2,092.37 and 853.14 is: 1,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.17 : 2,092.37 = 853.14 : x
  2. Step 2: Convert to fraction form
    1,516.17/2,092.37 = 853.14/x
  3. Step 3: Cross multiply
    1,516.17x = 2,092.37 × 853.14
  4. Step 4: Simplify right side
    1,516.17x = 1,785,080.28
  5. Step 5: Solve for x
    x = 1,785,080.28/1,516.17
  6. Step 6: Final answer
    x = 1,177.36

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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.