Home / 1,516.86-2,275.38-823.86

Finding the Fourth Proportional to 1,516.86, 2,275.38 and 823.86

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Solution

The fourth proportional to 1,516.86, 2,275.38 and 823.86 is: 1,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.86 : 2,275.38 = 823.86 : x
  2. Step 2: Convert to fraction form
    1,516.86/2,275.38 = 823.86/x
  3. Step 3: Cross multiply
    1,516.86x = 2,275.38 × 823.86
  4. Step 4: Simplify right side
    1,516.86x = 1,874,594.57
  5. Step 5: Solve for x
    x = 1,874,594.57/1,516.86
  6. Step 6: Final answer
    x = 1,235.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.