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Finding the Fourth Proportional to 4,977.72, 6,872.22 and 4,424.14

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Solution

The fourth proportional to 4,977.72, 6,872.22 and 4,424.14 is: 6,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.72 : 6,872.22 = 4,424.14 : x
  2. Step 2: Convert to fraction form
    4,977.72/6,872.22 = 4,424.14/x
  3. Step 3: Cross multiply
    4,977.72x = 6,872.22 × 4,424.14
  4. Step 4: Simplify right side
    4,977.72x = 30,403,663.39
  5. Step 5: Solve for x
    x = 30,403,663.39/4,977.72
  6. Step 6: Final answer
    x = 6,107.95

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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.