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Finding the Fourth Proportional to 4,878, 6,729.69 and 2,887.83

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Solution

The fourth proportional to 4,878, 6,729.69 and 2,887.83 is: 3,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878 : 6,729.69 = 2,887.83 : x
  2. Step 2: Convert to fraction form
    4,878/6,729.69 = 2,887.83/x
  3. Step 3: Cross multiply
    4,878x = 6,729.69 × 2,887.83
  4. Step 4: Simplify right side
    4,878x = 19,434,200.67
  5. Step 5: Solve for x
    x = 19,434,200.67/4,878
  6. Step 6: Final answer
    x = 3,984.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.