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Finding the Fourth Proportional to 4,688, 6,470.25 and 2,825

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Solution

The fourth proportional to 4,688, 6,470.25 and 2,825 is: 3,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688 : 6,470.25 = 2,825 : x
  2. Step 2: Convert to fraction form
    4,688/6,470.25 = 2,825/x
  3. Step 3: Cross multiply
    4,688x = 6,470.25 × 2,825
  4. Step 4: Simplify right side
    4,688x = 18,278,456.25
  5. Step 5: Solve for x
    x = 18,278,456.25/4,688
  6. Step 6: Final answer
    x = 3,898.99

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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.