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Finding the Fourth Proportional to 21,206.00, 31,799.13 and 7,869.71

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Solution

The fourth proportional to 21,206.00, 31,799.13 and 7,869.71 is: 11,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.00 : 31,799.13 = 7,869.71 : x
  2. Step 2: Convert to fraction form
    21,206.00/31,799.13 = 7,869.71/x
  3. Step 3: Cross multiply
    21,206.00x = 31,799.13 × 7,869.71
  4. Step 4: Simplify right side
    21,206.00x = 250,249,846.74
  5. Step 5: Solve for x
    x = 250,249,846.74/21,206.00
  6. Step 6: Final answer
    x = 11,800.90

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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.