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Finding the Fourth Proportional to 15,731.42, 21,709.42 and 8,658.09

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Solution

The fourth proportional to 15,731.42, 21,709.42 and 8,658.09 is: 11,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.42 : 21,709.42 = 8,658.09 : x
  2. Step 2: Convert to fraction form
    15,731.42/21,709.42 = 8,658.09/x
  3. Step 3: Cross multiply
    15,731.42x = 21,709.42 × 8,658.09
  4. Step 4: Simplify right side
    15,731.42x = 187,962,090.56
  5. Step 5: Solve for x
    x = 187,962,090.56/15,731.42
  6. Step 6: Final answer
    x = 11,948.20

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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.