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Finding the Fourth Proportional to 5,491.60, 8,240.11 and 2,569.40

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Solution

The fourth proportional to 5,491.60, 8,240.11 and 2,569.40 is: 3,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.60 : 8,240.11 = 2,569.40 : x
  2. Step 2: Convert to fraction form
    5,491.60/8,240.11 = 2,569.40/x
  3. Step 3: Cross multiply
    5,491.60x = 8,240.11 × 2,569.40
  4. Step 4: Simplify right side
    5,491.60x = 21,172,138.63
  5. Step 5: Solve for x
    x = 21,172,138.63/5,491.60
  6. Step 6: Final answer
    x = 3,855.37

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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.