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Finding the Fourth Proportional to 3,698.40, 5,101.77 and 2,282.40

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Solution

The fourth proportional to 3,698.40, 5,101.77 and 2,282.40 is: 3,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.40 : 5,101.77 = 2,282.40 : x
  2. Step 2: Convert to fraction form
    3,698.40/5,101.77 = 2,282.40/x
  3. Step 3: Cross multiply
    3,698.40x = 5,101.77 × 2,282.40
  4. Step 4: Simplify right side
    3,698.40x = 11,644,279.85
  5. Step 5: Solve for x
    x = 11,644,279.85/3,698.40
  6. Step 6: Final answer
    x = 3,148.46

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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.