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Finding the Fourth Proportional to 3,642.45, 5,465.63 and 2,822.32

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Solution

The fourth proportional to 3,642.45, 5,465.63 and 2,822.32 is: 4,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.45 : 5,465.63 = 2,822.32 : x
  2. Step 2: Convert to fraction form
    3,642.45/5,465.63 = 2,822.32/x
  3. Step 3: Cross multiply
    3,642.45x = 5,465.63 × 2,822.32
  4. Step 4: Simplify right side
    3,642.45x = 15,425,756.86
  5. Step 5: Solve for x
    x = 15,425,756.86/3,642.45
  6. Step 6: Final answer
    x = 4,234.99

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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.