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Finding the Fourth Proportional to 4,831, 6,666.78 and 2,623

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Solution

The fourth proportional to 4,831, 6,666.78 and 2,623 is: 3,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831 : 6,666.78 = 2,623 : x
  2. Step 2: Convert to fraction form
    4,831/6,666.78 = 2,623/x
  3. Step 3: Cross multiply
    4,831x = 6,666.78 × 2,623
  4. Step 4: Simplify right side
    4,831x = 17,486,963.94
  5. Step 5: Solve for x
    x = 17,486,963.94/4,831
  6. Step 6: Final answer
    x = 3,619.74

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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.