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Finding the Fourth Proportional to 2,596.70, 3,897.09 and 2,289.15

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Solution

The fourth proportional to 2,596.70, 3,897.09 and 2,289.15 is: 3,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.70 : 3,897.09 = 2,289.15 : x
  2. Step 2: Convert to fraction form
    2,596.70/3,897.09 = 2,289.15/x
  3. Step 3: Cross multiply
    2,596.70x = 3,897.09 × 2,289.15
  4. Step 4: Simplify right side
    2,596.70x = 8,921,023.57
  5. Step 5: Solve for x
    x = 8,921,023.57/2,596.70
  6. Step 6: Final answer
    x = 3,435.52

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1.5x scale

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.