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Finding the Fourth Proportional to 4,906.75, 7,360.85 and 2,931.19

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Solution

The fourth proportional to 4,906.75, 7,360.85 and 2,931.19 is: 4,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.75 : 7,360.85 = 2,931.19 : x
  2. Step 2: Convert to fraction form
    4,906.75/7,360.85 = 2,931.19/x
  3. Step 3: Cross multiply
    4,906.75x = 7,360.85 × 2,931.19
  4. Step 4: Simplify right side
    4,906.75x = 21,576,035.26
  5. Step 5: Solve for x
    x = 21,576,035.26/4,906.75
  6. Step 6: Final answer
    x = 4,397.22

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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.