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Finding the Fourth Proportional to 2,408.48, 3,612.36 and 948.62

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Solution

The fourth proportional to 2,408.48, 3,612.36 and 948.62 is: 1,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.48 : 3,612.36 = 948.62 : x
  2. Step 2: Convert to fraction form
    2,408.48/3,612.36 = 948.62/x
  3. Step 3: Cross multiply
    2,408.48x = 3,612.36 × 948.62
  4. Step 4: Simplify right side
    2,408.48x = 3,426,756.94
  5. Step 5: Solve for x
    x = 3,426,756.94/2,408.48
  6. Step 6: Final answer
    x = 1,422.79

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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.