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Finding the Fourth Proportional to 2,302.10, 3,453.72 and 742.14

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Solution

The fourth proportional to 2,302.10, 3,453.72 and 742.14 is: 1,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.10 : 3,453.72 = 742.14 : x
  2. Step 2: Convert to fraction form
    2,302.10/3,453.72 = 742.14/x
  3. Step 3: Cross multiply
    2,302.10x = 3,453.72 × 742.14
  4. Step 4: Simplify right side
    2,302.10x = 2,563,143.76
  5. Step 5: Solve for x
    x = 2,563,143.76/2,302.10
  6. Step 6: Final answer
    x = 1,113.39

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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.