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Finding the Fourth Proportional to 2,650.40, 3,658.08 and 2,207.84

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Solution

The fourth proportional to 2,650.40, 3,658.08 and 2,207.84 is: 3,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.40 : 3,658.08 = 2,207.84 : x
  2. Step 2: Convert to fraction form
    2,650.40/3,658.08 = 2,207.84/x
  3. Step 3: Cross multiply
    2,650.40x = 3,658.08 × 2,207.84
  4. Step 4: Simplify right side
    2,650.40x = 8,076,455.35
  5. Step 5: Solve for x
    x = 8,076,455.35/2,650.40
  6. Step 6: Final answer
    x = 3,047.26

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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.