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Finding the Fourth Proportional to 2,154.42, 2,974.08 and 1,408.41

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Solution

The fourth proportional to 2,154.42, 2,974.08 and 1,408.41 is: 1,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.42 : 2,974.08 = 1,408.41 : x
  2. Step 2: Convert to fraction form
    2,154.42/2,974.08 = 1,408.41/x
  3. Step 3: Cross multiply
    2,154.42x = 2,974.08 × 1,408.41
  4. Step 4: Simplify right side
    2,154.42x = 4,188,724.01
  5. Step 5: Solve for x
    x = 4,188,724.01/2,154.42
  6. Step 6: Final answer
    x = 1,944.25

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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.