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Finding the Fourth Proportional to 4,689, 6,470.82 and 3,033

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Solution

The fourth proportional to 4,689, 6,470.82 and 3,033 is: 4,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689 : 6,470.82 = 3,033 : x
  2. Step 2: Convert to fraction form
    4,689/6,470.82 = 3,033/x
  3. Step 3: Cross multiply
    4,689x = 6,470.82 × 3,033
  4. Step 4: Simplify right side
    4,689x = 19,625,997.06
  5. Step 5: Solve for x
    x = 19,625,997.06/4,689
  6. Step 6: Final answer
    x = 4,185.54

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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.