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Finding the Fourth Proportional to 2,118.64, 3,177.96 and 579.64

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Solution

The fourth proportional to 2,118.64, 3,177.96 and 579.64 is: 869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.64 : 3,177.96 = 579.64 : x
  2. Step 2: Convert to fraction form
    2,118.64/3,177.96 = 579.64/x
  3. Step 3: Cross multiply
    2,118.64x = 3,177.96 × 579.64
  4. Step 4: Simplify right side
    2,118.64x = 1,842,072.73
  5. Step 5: Solve for x
    x = 1,842,072.73/2,118.64
  6. Step 6: Final answer
    x = 869.46

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1.5x scale

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.