Home / 1,516.41-2,272.14-930.78

Finding the Fourth Proportional to 1,516.41, 2,272.14 and 930.78

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Solution

The fourth proportional to 1,516.41, 2,272.14 and 930.78 is: 1,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.41 : 2,272.14 = 930.78 : x
  2. Step 2: Convert to fraction form
    1,516.41/2,272.14 = 930.78/x
  3. Step 3: Cross multiply
    1,516.41x = 2,272.14 × 930.78
  4. Step 4: Simplify right side
    1,516.41x = 2,114,862.47
  5. Step 5: Solve for x
    x = 2,114,862.47/1,516.41
  6. Step 6: Final answer
    x = 1,394.65

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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.