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Finding the Fourth Proportional to 4,946.86, 7,408.54 and 3,775.40

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Solution

The fourth proportional to 4,946.86, 7,408.54 and 3,775.40 is: 5,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.86 : 7,408.54 = 3,775.40 : x
  2. Step 2: Convert to fraction form
    4,946.86/7,408.54 = 3,775.40/x
  3. Step 3: Cross multiply
    4,946.86x = 7,408.54 × 3,775.40
  4. Step 4: Simplify right side
    4,946.86x = 27,970,201.92
  5. Step 5: Solve for x
    x = 27,970,201.92/4,946.86
  6. Step 6: Final answer
    x = 5,654.13

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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.