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Finding the Fourth Proportional to 43,048, 64,572 and 13,864

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Solution

The fourth proportional to 43,048, 64,572 and 13,864 is: 20,796

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,048 : 64,572 = 13,864 : x
  2. Step 2: Convert to fraction form
    43,048/64,572 = 13,864/x
  3. Step 3: Cross multiply
    43,048x = 64,572 × 13,864
  4. Step 4: Simplify right side
    43,048x = 895,226,208
  5. Step 5: Solve for x
    x = 895,226,208/43,048
  6. Step 6: Final answer
    x = 20,796

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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.