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Finding the Fourth Proportional to 31,866.68, 47,799.84 and 11,090

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Solution

The fourth proportional to 31,866.68, 47,799.84 and 11,090 is: 16,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.68 : 47,799.84 = 11,090 : x
  2. Step 2: Convert to fraction form
    31,866.68/47,799.84 = 11,090/x
  3. Step 3: Cross multiply
    31,866.68x = 47,799.84 × 11,090
  4. Step 4: Simplify right side
    31,866.68x = 530,100,225.60
  5. Step 5: Solve for x
    x = 530,100,225.60/31,866.68
  6. Step 6: Final answer
    x = 16,634.94

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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.