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Finding the Fourth Proportional to 2,408.48, 3,600.40 and 1,786.40

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Solution

The fourth proportional to 2,408.48, 3,600.40 and 1,786.40 is: 2,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.48 : 3,600.40 = 1,786.40 : x
  2. Step 2: Convert to fraction form
    2,408.48/3,600.40 = 1,786.40/x
  3. Step 3: Cross multiply
    2,408.48x = 3,600.40 × 1,786.40
  4. Step 4: Simplify right side
    2,408.48x = 6,431,754.56
  5. Step 5: Solve for x
    x = 6,431,754.56/2,408.48
  6. Step 6: Final answer
    x = 2,670.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.