Home / 1,519.78-2,098.44-931.12

Finding the Fourth Proportional to 1,519.78, 2,098.44 and 931.12

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Solution

The fourth proportional to 1,519.78, 2,098.44 and 931.12 is: 1,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.78 : 2,098.44 = 931.12 : x
  2. Step 2: Convert to fraction form
    1,519.78/2,098.44 = 931.12/x
  3. Step 3: Cross multiply
    1,519.78x = 2,098.44 × 931.12
  4. Step 4: Simplify right side
    1,519.78x = 1,953,899.45
  5. Step 5: Solve for x
    x = 1,953,899.45/1,519.78
  6. Step 6: Final answer
    x = 1,285.65

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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.