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Finding the Fourth Proportional to 4,287.78, 5,922.45 and 3,698.10

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Solution

The fourth proportional to 4,287.78, 5,922.45 and 3,698.10 is: 5,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.78 : 5,922.45 = 3,698.10 : x
  2. Step 2: Convert to fraction form
    4,287.78/5,922.45 = 3,698.10/x
  3. Step 3: Cross multiply
    4,287.78x = 5,922.45 × 3,698.10
  4. Step 4: Simplify right side
    4,287.78x = 21,901,812.35
  5. Step 5: Solve for x
    x = 21,901,812.35/4,287.78
  6. Step 6: Final answer
    x = 5,107.96

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1.5x scale

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.