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Finding the Fourth Proportional to 2,777.76, 4,165.92 and 829.62

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Solution

The fourth proportional to 2,777.76, 4,165.92 and 829.62 is: 1,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.76 : 4,165.92 = 829.62 : x
  2. Step 2: Convert to fraction form
    2,777.76/4,165.92 = 829.62/x
  3. Step 3: Cross multiply
    2,777.76x = 4,165.92 × 829.62
  4. Step 4: Simplify right side
    2,777.76x = 3,456,130.55
  5. Step 5: Solve for x
    x = 3,456,130.55/2,777.76
  6. Step 6: Final answer
    x = 1,244.21

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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.