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Finding the Fourth Proportional to 15,731.69, 21,709.62 and 8,658.09

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Solution

The fourth proportional to 15,731.69, 21,709.62 and 8,658.09 is: 11,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.69 : 21,709.62 = 8,658.09 : x
  2. Step 2: Convert to fraction form
    15,731.69/21,709.62 = 8,658.09/x
  3. Step 3: Cross multiply
    15,731.69x = 21,709.62 × 8,658.09
  4. Step 4: Simplify right side
    15,731.69x = 187,963,843.83
  5. Step 5: Solve for x
    x = 187,963,843.83/15,731.69
  6. Step 6: Final answer
    x = 11,948.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.