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Finding the Fourth Proportional to 15,697, 21,663.78 and 9,073

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Solution

The fourth proportional to 15,697, 21,663.78 and 9,073 is: 12,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697 : 21,663.78 = 9,073 : x
  2. Step 2: Convert to fraction form
    15,697/21,663.78 = 9,073/x
  3. Step 3: Cross multiply
    15,697x = 21,663.78 × 9,073
  4. Step 4: Simplify right side
    15,697x = 196,555,475.94
  5. Step 5: Solve for x
    x = 196,555,475.94/15,697
  6. Step 6: Final answer
    x = 12,521.85

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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.