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Finding the Fourth Proportional to 3,838.80, 5,296.80 and 2,267.16

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Solution

The fourth proportional to 3,838.80, 5,296.80 and 2,267.16 is: 3,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.80 : 5,296.80 = 2,267.16 : x
  2. Step 2: Convert to fraction form
    3,838.80/5,296.80 = 2,267.16/x
  3. Step 3: Cross multiply
    3,838.80x = 5,296.80 × 2,267.16
  4. Step 4: Simplify right side
    3,838.80x = 12,008,693.09
  5. Step 5: Solve for x
    x = 12,008,693.09/3,838.80
  6. Step 6: Final answer
    x = 3,128.24

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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.