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Finding the Fourth Proportional to 43,293, 64,939.50 and 10,461

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Solution

The fourth proportional to 43,293, 64,939.50 and 10,461 is: 15,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,293 : 64,939.50 = 10,461 : x
  2. Step 2: Convert to fraction form
    43,293/64,939.50 = 10,461/x
  3. Step 3: Cross multiply
    43,293x = 64,939.50 × 10,461
  4. Step 4: Simplify right side
    43,293x = 679,332,109.50
  5. Step 5: Solve for x
    x = 679,332,109.50/43,293
  6. Step 6: Final answer
    x = 15,691.50

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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.