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Finding the Fourth Proportional to 2,408.73, 3,612.96 and 947.90

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Solution

The fourth proportional to 2,408.73, 3,612.96 and 947.90 is: 1,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.73 : 3,612.96 = 947.90 : x
  2. Step 2: Convert to fraction form
    2,408.73/3,612.96 = 947.90/x
  3. Step 3: Cross multiply
    2,408.73x = 3,612.96 × 947.90
  4. Step 4: Simplify right side
    2,408.73x = 3,424,724.78
  5. Step 5: Solve for x
    x = 3,424,724.78/2,408.73
  6. Step 6: Final answer
    x = 1,421.80

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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.