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Finding the Fourth Proportional to 2,101.62, 2,900.18 and 1,217.32

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Solution

The fourth proportional to 2,101.62, 2,900.18 and 1,217.32 is: 1,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.62 : 2,900.18 = 1,217.32 : x
  2. Step 2: Convert to fraction form
    2,101.62/2,900.18 = 1,217.32/x
  3. Step 3: Cross multiply
    2,101.62x = 2,900.18 × 1,217.32
  4. Step 4: Simplify right side
    2,101.62x = 3,530,447.12
  5. Step 5: Solve for x
    x = 3,530,447.12/2,101.62
  6. Step 6: Final answer
    x = 1,679.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.