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Finding the Fourth Proportional to 4,277.80, 6,411.90 and 2,429.80

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Solution

The fourth proportional to 4,277.80, 6,411.90 and 2,429.80 is: 3,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.80 : 6,411.90 = 2,429.80 : x
  2. Step 2: Convert to fraction form
    4,277.80/6,411.90 = 2,429.80/x
  3. Step 3: Cross multiply
    4,277.80x = 6,411.90 × 2,429.80
  4. Step 4: Simplify right side
    4,277.80x = 15,579,634.62
  5. Step 5: Solve for x
    x = 15,579,634.62/4,277.80
  6. Step 6: Final answer
    x = 3,641.97

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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.