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Finding the Fourth Proportional to 2,408.76, 3,320.10 and 2,199.65

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Solution

The fourth proportional to 2,408.76, 3,320.10 and 2,199.65 is: 3,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.76 : 3,320.10 = 2,199.65 : x
  2. Step 2: Convert to fraction form
    2,408.76/3,320.10 = 2,199.65/x
  3. Step 3: Cross multiply
    2,408.76x = 3,320.10 × 2,199.65
  4. Step 4: Simplify right side
    2,408.76x = 7,303,041.36
  5. Step 5: Solve for x
    x = 7,303,041.36/2,408.76
  6. Step 6: Final answer
    x = 3,031.87

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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.