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Finding the Fourth Proportional to 1,516.66, 2,092.62 and 886.83

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Solution

The fourth proportional to 1,516.66, 2,092.62 and 886.83 is: 1,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.66 : 2,092.62 = 886.83 : x
  2. Step 2: Convert to fraction form
    1,516.66/2,092.62 = 886.83/x
  3. Step 3: Cross multiply
    1,516.66x = 2,092.62 × 886.83
  4. Step 4: Simplify right side
    1,516.66x = 1,855,798.19
  5. Step 5: Solve for x
    x = 1,855,798.19/1,516.66
  6. Step 6: Final answer
    x = 1,223.61

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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.