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Finding the Fourth Proportional to 4,389, 6,067.62 and 4,205.40

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Solution

The fourth proportional to 4,389, 6,067.62 and 4,205.40 is: 5,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389 : 6,067.62 = 4,205.40 : x
  2. Step 2: Convert to fraction form
    4,389/6,067.62 = 4,205.40/x
  3. Step 3: Cross multiply
    4,389x = 6,067.62 × 4,205.40
  4. Step 4: Simplify right side
    4,389x = 25,516,769.15
  5. Step 5: Solve for x
    x = 25,516,769.15/4,389
  6. Step 6: Final answer
    x = 5,813.80

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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.