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Finding the Fourth Proportional to 4,830, 7,244.96 and 1,906.68

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Solution

The fourth proportional to 4,830, 7,244.96 and 1,906.68 is: 2,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830 : 7,244.96 = 1,906.68 : x
  2. Step 2: Convert to fraction form
    4,830/7,244.96 = 1,906.68/x
  3. Step 3: Cross multiply
    4,830x = 7,244.96 × 1,906.68
  4. Step 4: Simplify right side
    4,830x = 13,813,820.33
  5. Step 5: Solve for x
    x = 13,813,820.33/4,830
  6. Step 6: Final answer
    x = 2,860.00

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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.