Home / 2,564.92-3,538.18-1,516.78

Finding the Fourth Proportional to 2,564.92, 3,538.18 and 1,516.78

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Solution

The fourth proportional to 2,564.92, 3,538.18 and 1,516.78 is: 2,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.92 : 3,538.18 = 1,516.78 : x
  2. Step 2: Convert to fraction form
    2,564.92/3,538.18 = 1,516.78/x
  3. Step 3: Cross multiply
    2,564.92x = 3,538.18 × 1,516.78
  4. Step 4: Simplify right side
    2,564.92x = 5,366,640.66
  5. Step 5: Solve for x
    x = 5,366,640.66/2,564.92
  6. Step 6: Final answer
    x = 2,092.32

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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.