Home / 2,087.24-3,130.76-854.34

Finding the Fourth Proportional to 2,087.24, 3,130.76 and 854.34

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Solution

The fourth proportional to 2,087.24, 3,130.76 and 854.34 is: 1,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.24 : 3,130.76 = 854.34 : x
  2. Step 2: Convert to fraction form
    2,087.24/3,130.76 = 854.34/x
  3. Step 3: Cross multiply
    2,087.24x = 3,130.76 × 854.34
  4. Step 4: Simplify right side
    2,087.24x = 2,674,729.23
  5. Step 5: Solve for x
    x = 2,674,729.23/2,087.24
  6. Step 6: Final answer
    x = 1,281.47

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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.