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Finding the Fourth Proportional to 2,760.40, 4,140.60 and 2,491.60

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Solution

The fourth proportional to 2,760.40, 4,140.60 and 2,491.60 is: 3,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.40 : 4,140.60 = 2,491.60 : x
  2. Step 2: Convert to fraction form
    2,760.40/4,140.60 = 2,491.60/x
  3. Step 3: Cross multiply
    2,760.40x = 4,140.60 × 2,491.60
  4. Step 4: Simplify right side
    2,760.40x = 10,316,718.96
  5. Step 5: Solve for x
    x = 10,316,718.96/2,760.40
  6. Step 6: Final answer
    x = 3,737.40

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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.