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Finding the Fourth Proportional to 21,432, 32,148 and 9,748.56

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Solution

The fourth proportional to 21,432, 32,148 and 9,748.56 is: 14,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432 : 32,148 = 9,748.56 : x
  2. Step 2: Convert to fraction form
    21,432/32,148 = 9,748.56/x
  3. Step 3: Cross multiply
    21,432x = 32,148 × 9,748.56
  4. Step 4: Simplify right side
    21,432x = 313,396,706.88
  5. Step 5: Solve for x
    x = 313,396,706.88/21,432
  6. Step 6: Final answer
    x = 14,622.84

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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.