Home / 2,118.34-3,177.86-869.21

Finding the Fourth Proportional to 2,118.34, 3,177.86 and 869.21

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Solution

The fourth proportional to 2,118.34, 3,177.86 and 869.21 is: 1,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.34 : 3,177.86 = 869.21 : x
  2. Step 2: Convert to fraction form
    2,118.34/3,177.86 = 869.21/x
  3. Step 3: Cross multiply
    2,118.34x = 3,177.86 × 869.21
  4. Step 4: Simplify right side
    2,118.34x = 2,762,239.69
  5. Step 5: Solve for x
    x = 2,762,239.69/2,118.34
  6. Step 6: Final answer
    x = 1,303.97

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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.