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Finding the Fourth Proportional to 31,150.92, 46,726.74 and 7,777.56

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Solution

The fourth proportional to 31,150.92, 46,726.74 and 7,777.56 is: 11,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,150.92 : 46,726.74 = 7,777.56 : x
  2. Step 2: Convert to fraction form
    31,150.92/46,726.74 = 7,777.56/x
  3. Step 3: Cross multiply
    31,150.92x = 46,726.74 × 7,777.56
  4. Step 4: Simplify right side
    31,150.92x = 363,420,023.95
  5. Step 5: Solve for x
    x = 363,420,023.95/31,150.92
  6. Step 6: Final answer
    x = 11,666.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.