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Finding the Fourth Proportional to 2,171.55, 3,258.26 and 690.90

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Solution

The fourth proportional to 2,171.55, 3,258.26 and 690.90 is: 1,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.55 : 3,258.26 = 690.90 : x
  2. Step 2: Convert to fraction form
    2,171.55/3,258.26 = 690.90/x
  3. Step 3: Cross multiply
    2,171.55x = 3,258.26 × 690.90
  4. Step 4: Simplify right side
    2,171.55x = 2,251,131.83
  5. Step 5: Solve for x
    x = 2,251,131.83/2,171.55
  6. Step 6: Final answer
    x = 1,036.65

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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.