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Finding the Fourth Proportional to 2,492.37, 3,738.25 and 643.34

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Solution

The fourth proportional to 2,492.37, 3,738.25 and 643.34 is: 964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.37 : 3,738.25 = 643.34 : x
  2. Step 2: Convert to fraction form
    2,492.37/3,738.25 = 643.34/x
  3. Step 3: Cross multiply
    2,492.37x = 3,738.25 × 643.34
  4. Step 4: Simplify right side
    2,492.37x = 2,404,975.90
  5. Step 5: Solve for x
    x = 2,404,975.90/2,492.37
  6. Step 6: Final answer
    x = 964.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.