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Finding the Fourth Proportional to 2,777.80, 4,166.70 and 2,464.60

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Solution

The fourth proportional to 2,777.80, 4,166.70 and 2,464.60 is: 3,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.80 : 4,166.70 = 2,464.60 : x
  2. Step 2: Convert to fraction form
    2,777.80/4,166.70 = 2,464.60/x
  3. Step 3: Cross multiply
    2,777.80x = 4,166.70 × 2,464.60
  4. Step 4: Simplify right side
    2,777.80x = 10,269,248.82
  5. Step 5: Solve for x
    x = 10,269,248.82/2,777.80
  6. Step 6: Final answer
    x = 3,696.90

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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.