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Finding the Fourth Proportional to 2,684.88, 3,707.28 and 2,203.68

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Solution

The fourth proportional to 2,684.88, 3,707.28 and 2,203.68 is: 3,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.88 : 3,707.28 = 2,203.68 : x
  2. Step 2: Convert to fraction form
    2,684.88/3,707.28 = 2,203.68/x
  3. Step 3: Cross multiply
    2,684.88x = 3,707.28 × 2,203.68
  4. Step 4: Simplify right side
    2,684.88x = 8,169,658.79
  5. Step 5: Solve for x
    x = 8,169,658.79/2,684.88
  6. Step 6: Final answer
    x = 3,042.84

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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.