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Finding the Fourth Proportional to 2,172.60, 3,258.77 and 691.79

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Solution

The fourth proportional to 2,172.60, 3,258.77 and 691.79 is: 1,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.60 : 3,258.77 = 691.79 : x
  2. Step 2: Convert to fraction form
    2,172.60/3,258.77 = 691.79/x
  3. Step 3: Cross multiply
    2,172.60x = 3,258.77 × 691.79
  4. Step 4: Simplify right side
    2,172.60x = 2,254,364.75
  5. Step 5: Solve for x
    x = 2,254,364.75/2,172.60
  6. Step 6: Final answer
    x = 1,037.63

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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.