Home / 1,516.12-2,272.74-865.96

Finding the Fourth Proportional to 1,516.12, 2,272.74 and 865.96

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Solution

The fourth proportional to 1,516.12, 2,272.74 and 865.96 is: 1,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.12 : 2,272.74 = 865.96 : x
  2. Step 2: Convert to fraction form
    1,516.12/2,272.74 = 865.96/x
  3. Step 3: Cross multiply
    1,516.12x = 2,272.74 × 865.96
  4. Step 4: Simplify right side
    1,516.12x = 1,968,101.93
  5. Step 5: Solve for x
    x = 1,968,101.93/1,516.12
  6. Step 6: Final answer
    x = 1,298.12

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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.