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Finding the Fourth Proportional to 21,597, 32,381.67 and 9,113.64

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Solution

The fourth proportional to 21,597, 32,381.67 and 9,113.64 is: 13,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597 : 32,381.67 = 9,113.64 : x
  2. Step 2: Convert to fraction form
    21,597/32,381.67 = 9,113.64/x
  3. Step 3: Cross multiply
    21,597x = 32,381.67 × 9,113.64
  4. Step 4: Simplify right side
    21,597x = 295,114,882.98
  5. Step 5: Solve for x
    x = 295,114,882.98/21,597
  6. Step 6: Final answer
    x = 13,664.62

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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.