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Finding the Fourth Proportional to 4,291.75, 5,922.80 and 2,428.75

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Solution

The fourth proportional to 4,291.75, 5,922.80 and 2,428.75 is: 3,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.75 : 5,922.80 = 2,428.75 : x
  2. Step 2: Convert to fraction form
    4,291.75/5,922.80 = 2,428.75/x
  3. Step 3: Cross multiply
    4,291.75x = 5,922.80 × 2,428.75
  4. Step 4: Simplify right side
    4,291.75x = 14,385,000.50
  5. Step 5: Solve for x
    x = 14,385,000.50/4,291.75
  6. Step 6: Final answer
    x = 3,351.78

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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.