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Finding the Fourth Proportional to 2,777.69, 3,832.47 and 1,658.12

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Solution

The fourth proportional to 2,777.69, 3,832.47 and 1,658.12 is: 2,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.69 : 3,832.47 = 1,658.12 : x
  2. Step 2: Convert to fraction form
    2,777.69/3,832.47 = 1,658.12/x
  3. Step 3: Cross multiply
    2,777.69x = 3,832.47 × 1,658.12
  4. Step 4: Simplify right side
    2,777.69x = 6,354,695.16
  5. Step 5: Solve for x
    x = 6,354,695.16/2,777.69
  6. Step 6: Final answer
    x = 2,287.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.