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Finding the Fourth Proportional to 2,571.98, 3,857.96 and 624.17

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Solution

The fourth proportional to 2,571.98, 3,857.96 and 624.17 is: 936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.98 : 3,857.96 = 624.17 : x
  2. Step 2: Convert to fraction form
    2,571.98/3,857.96 = 624.17/x
  3. Step 3: Cross multiply
    2,571.98x = 3,857.96 × 624.17
  4. Step 4: Simplify right side
    2,571.98x = 2,408,019.77
  5. Step 5: Solve for x
    x = 2,408,019.77/2,571.98
  6. Step 6: Final answer
    x = 936.25

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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.