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Finding the Fourth Proportional to 4,447.61, 6,133.10 and 3,820.22

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Solution

The fourth proportional to 4,447.61, 6,133.10 and 3,820.22 is: 5,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.61 : 6,133.10 = 3,820.22 : x
  2. Step 2: Convert to fraction form
    4,447.61/6,133.10 = 3,820.22/x
  3. Step 3: Cross multiply
    4,447.61x = 6,133.10 × 3,820.22
  4. Step 4: Simplify right side
    4,447.61x = 23,429,760.62
  5. Step 5: Solve for x
    x = 23,429,760.62/4,447.61
  6. Step 6: Final answer
    x = 5,267.95

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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.