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Finding the Fourth Proportional to 31,100.50, 46,650.57 and 11,380.42

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Solution

The fourth proportional to 31,100.50, 46,650.57 and 11,380.42 is: 17,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100.50 : 46,650.57 = 11,380.42 : x
  2. Step 2: Convert to fraction form
    31,100.50/46,650.57 = 11,380.42/x
  3. Step 3: Cross multiply
    31,100.50x = 46,650.57 × 11,380.42
  4. Step 4: Simplify right side
    31,100.50x = 530,903,079.84
  5. Step 5: Solve for x
    x = 530,903,079.84/31,100.50
  6. Step 6: Final answer
    x = 17,070.56

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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.