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Finding the Fourth Proportional to 31,906.50, 47,881.67 and 11,130

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Solution

The fourth proportional to 31,906.50, 47,881.67 and 11,130 is: 16,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.50 : 47,881.67 = 11,130 : x
  2. Step 2: Convert to fraction form
    31,906.50/47,881.67 = 11,130/x
  3. Step 3: Cross multiply
    31,906.50x = 47,881.67 × 11,130
  4. Step 4: Simplify right side
    31,906.50x = 532,922,931.45
  5. Step 5: Solve for x
    x = 532,922,931.45/31,906.50
  6. Step 6: Final answer
    x = 16,702.64

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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.