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Finding the Fourth Proportional to 2,518.61, 3,777.62 and 669.86

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Solution

The fourth proportional to 2,518.61, 3,777.62 and 669.86 is: 1,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.61 : 3,777.62 = 669.86 : x
  2. Step 2: Convert to fraction form
    2,518.61/3,777.62 = 669.86/x
  3. Step 3: Cross multiply
    2,518.61x = 3,777.62 × 669.86
  4. Step 4: Simplify right side
    2,518.61x = 2,530,473.18
  5. Step 5: Solve for x
    x = 2,530,473.18/2,518.61
  6. Step 6: Final answer
    x = 1,004.71

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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.