Home / 2,775.30-3,830-1,516.47

Finding the Fourth Proportional to 2,775.30, 3,830 and 1,516.47

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Solution

The fourth proportional to 2,775.30, 3,830 and 1,516.47 is: 2,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.30 : 3,830 = 1,516.47 : x
  2. Step 2: Convert to fraction form
    2,775.30/3,830 = 1,516.47/x
  3. Step 3: Cross multiply
    2,775.30x = 3,830 × 1,516.47
  4. Step 4: Simplify right side
    2,775.30x = 5,808,080.10
  5. Step 5: Solve for x
    x = 5,808,080.10/2,775.30
  6. Step 6: Final answer
    x = 2,092.78

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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.