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Finding the Fourth Proportional to 21,189.81, 31,785.93 and 8,041.89

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Solution

The fourth proportional to 21,189.81, 31,785.93 and 8,041.89 is: 12,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.81 : 31,785.93 = 8,041.89 : x
  2. Step 2: Convert to fraction form
    21,189.81/31,785.93 = 8,041.89/x
  3. Step 3: Cross multiply
    21,189.81x = 31,785.93 × 8,041.89
  4. Step 4: Simplify right side
    21,189.81x = 255,618,952.61
  5. Step 5: Solve for x
    x = 255,618,952.61/21,189.81
  6. Step 6: Final answer
    x = 12,063.30

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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.