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Finding the Fourth Proportional to 43,229, 64,843.50 and 10,397

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Solution

The fourth proportional to 43,229, 64,843.50 and 10,397 is: 15,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,229 : 64,843.50 = 10,397 : x
  2. Step 2: Convert to fraction form
    43,229/64,843.50 = 10,397/x
  3. Step 3: Cross multiply
    43,229x = 64,843.50 × 10,397
  4. Step 4: Simplify right side
    43,229x = 674,177,869.50
  5. Step 5: Solve for x
    x = 674,177,869.50/43,229
  6. Step 6: Final answer
    x = 15,595.50

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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.