Home / 1,519.74-2,098.26-931.14

Finding the Fourth Proportional to 1,519.74, 2,098.26 and 931.14

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Solution

The fourth proportional to 1,519.74, 2,098.26 and 931.14 is: 1,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.74 : 2,098.26 = 931.14 : x
  2. Step 2: Convert to fraction form
    1,519.74/2,098.26 = 931.14/x
  3. Step 3: Cross multiply
    1,519.74x = 2,098.26 × 931.14
  4. Step 4: Simplify right side
    1,519.74x = 1,953,773.82
  5. Step 5: Solve for x
    x = 1,953,773.82/1,519.74
  6. Step 6: Final answer
    x = 1,285.60

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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.