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Finding the Fourth Proportional to 4,748.50, 6,553.74 and 2,652.22

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Solution

The fourth proportional to 4,748.50, 6,553.74 and 2,652.22 is: 3,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.50 : 6,553.74 = 2,652.22 : x
  2. Step 2: Convert to fraction form
    4,748.50/6,553.74 = 2,652.22/x
  3. Step 3: Cross multiply
    4,748.50x = 6,553.74 × 2,652.22
  4. Step 4: Simplify right side
    4,748.50x = 17,381,960.30
  5. Step 5: Solve for x
    x = 17,381,960.30/4,748.50
  6. Step 6: Final answer
    x = 3,660.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.