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Finding the Fourth Proportional to 15,731.99, 21,710.15 and 8,658.42

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Solution

The fourth proportional to 15,731.99, 21,710.15 and 8,658.42 is: 11,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.99 : 21,710.15 = 8,658.42 : x
  2. Step 2: Convert to fraction form
    15,731.99/21,710.15 = 8,658.42/x
  3. Step 3: Cross multiply
    15,731.99x = 21,710.15 × 8,658.42
  4. Step 4: Simplify right side
    15,731.99x = 187,975,596.96
  5. Step 5: Solve for x
    x = 187,975,596.96/15,731.99
  6. Step 6: Final answer
    x = 11,948.62

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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.