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Finding the Fourth Proportional to 2,586.76, 3,880.13 and 2,128.90

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Solution

The fourth proportional to 2,586.76, 3,880.13 and 2,128.90 is: 3,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.76 : 3,880.13 = 2,128.90 : x
  2. Step 2: Convert to fraction form
    2,586.76/3,880.13 = 2,128.90/x
  3. Step 3: Cross multiply
    2,586.76x = 3,880.13 × 2,128.90
  4. Step 4: Simplify right side
    2,586.76x = 8,260,408.76
  5. Step 5: Solve for x
    x = 8,260,408.76/2,586.76
  6. Step 6: Final answer
    x = 3,193.34

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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.