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Finding the Fourth Proportional to 4,698.43, 6,485 and 2,811.13

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Solution

The fourth proportional to 4,698.43, 6,485 and 2,811.13 is: 3,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.43 : 6,485 = 2,811.13 : x
  2. Step 2: Convert to fraction form
    4,698.43/6,485 = 2,811.13/x
  3. Step 3: Cross multiply
    4,698.43x = 6,485 × 2,811.13
  4. Step 4: Simplify right side
    4,698.43x = 18,230,178.05
  5. Step 5: Solve for x
    x = 18,230,178.05/4,698.43
  6. Step 6: Final answer
    x = 3,880.06

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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.