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Finding the Fourth Proportional to 2,600.90, 3,897.95 and 2,271

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Solution

The fourth proportional to 2,600.90, 3,897.95 and 2,271 is: 3,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.90 : 3,897.95 = 2,271 : x
  2. Step 2: Convert to fraction form
    2,600.90/3,897.95 = 2,271/x
  3. Step 3: Cross multiply
    2,600.90x = 3,897.95 × 2,271
  4. Step 4: Simplify right side
    2,600.90x = 8,852,244.45
  5. Step 5: Solve for x
    x = 8,852,244.45/2,600.90
  6. Step 6: Final answer
    x = 3,403.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.