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Finding the Fourth Proportional to 4,838.10, 6,678.09 and 2,822.10

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Solution

The fourth proportional to 4,838.10, 6,678.09 and 2,822.10 is: 3,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.10 : 6,678.09 = 2,822.10 : x
  2. Step 2: Convert to fraction form
    4,838.10/6,678.09 = 2,822.10/x
  3. Step 3: Cross multiply
    4,838.10x = 6,678.09 × 2,822.10
  4. Step 4: Simplify right side
    4,838.10x = 18,846,237.79
  5. Step 5: Solve for x
    x = 18,846,237.79/4,838.10
  6. Step 6: Final answer
    x = 3,895.38

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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.