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Finding the Fourth Proportional to 2,780.70, 4,171.05 and 2,464.80

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Solution

The fourth proportional to 2,780.70, 4,171.05 and 2,464.80 is: 3,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.70 : 4,171.05 = 2,464.80 : x
  2. Step 2: Convert to fraction form
    2,780.70/4,171.05 = 2,464.80/x
  3. Step 3: Cross multiply
    2,780.70x = 4,171.05 × 2,464.80
  4. Step 4: Simplify right side
    2,780.70x = 10,280,804.04
  5. Step 5: Solve for x
    x = 10,280,804.04/2,780.70
  6. Step 6: Final answer
    x = 3,697.20

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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.