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Finding the Fourth Proportional to 6,470.87, 8,929.59 and 3,638.36

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Solution

The fourth proportional to 6,470.87, 8,929.59 and 3,638.36 is: 5,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.87 : 8,929.59 = 3,638.36 : x
  2. Step 2: Convert to fraction form
    6,470.87/8,929.59 = 3,638.36/x
  3. Step 3: Cross multiply
    6,470.87x = 8,929.59 × 3,638.36
  4. Step 4: Simplify right side
    6,470.87x = 32,489,063.07
  5. Step 5: Solve for x
    x = 32,489,063.07/6,470.87
  6. Step 6: Final answer
    x = 5,020.82

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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.