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Finding the Fourth Proportional to 31,108.77, 46,682.51 and 12,640.77

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Solution

The fourth proportional to 31,108.77, 46,682.51 and 12,640.77 is: 18,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.77 : 46,682.51 = 12,640.77 : x
  2. Step 2: Convert to fraction form
    31,108.77/46,682.51 = 12,640.77/x
  3. Step 3: Cross multiply
    31,108.77x = 46,682.51 × 12,640.77
  4. Step 4: Simplify right side
    31,108.77x = 590,102,871.93
  5. Step 5: Solve for x
    x = 590,102,871.93/31,108.77
  6. Step 6: Final answer
    x = 18,969.02

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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.