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Finding the Fourth Proportional to 2,537.60, 3,806.40 and 2,440.40

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Solution

The fourth proportional to 2,537.60, 3,806.40 and 2,440.40 is: 3,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.60 : 3,806.40 = 2,440.40 : x
  2. Step 2: Convert to fraction form
    2,537.60/3,806.40 = 2,440.40/x
  3. Step 3: Cross multiply
    2,537.60x = 3,806.40 × 2,440.40
  4. Step 4: Simplify right side
    2,537.60x = 9,289,138.56
  5. Step 5: Solve for x
    x = 9,289,138.56/2,537.60
  6. Step 6: Final answer
    x = 3,660.60

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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.