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Finding the Fourth Proportional to 43,214, 64,821 and 10,382

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Solution

The fourth proportional to 43,214, 64,821 and 10,382 is: 15,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,214 : 64,821 = 10,382 : x
  2. Step 2: Convert to fraction form
    43,214/64,821 = 10,382/x
  3. Step 3: Cross multiply
    43,214x = 64,821 × 10,382
  4. Step 4: Simplify right side
    43,214x = 672,971,622
  5. Step 5: Solve for x
    x = 672,971,622/43,214
  6. Step 6: Final answer
    x = 15,573

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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.