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Finding the Fourth Proportional to 21,107.71, 31,650.99 and 7,780.06

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Solution

The fourth proportional to 21,107.71, 31,650.99 and 7,780.06 is: 11,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.71 : 31,650.99 = 7,780.06 : x
  2. Step 2: Convert to fraction form
    21,107.71/31,650.99 = 7,780.06/x
  3. Step 3: Cross multiply
    21,107.71x = 31,650.99 × 7,780.06
  4. Step 4: Simplify right side
    21,107.71x = 246,246,601.26
  5. Step 5: Solve for x
    x = 246,246,601.26/21,107.71
  6. Step 6: Final answer
    x = 11,666.19

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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.