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Finding the Fourth Proportional to 43,084, 64,626 and 13,900

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Solution

The fourth proportional to 43,084, 64,626 and 13,900 is: 20,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,084 : 64,626 = 13,900 : x
  2. Step 2: Convert to fraction form
    43,084/64,626 = 13,900/x
  3. Step 3: Cross multiply
    43,084x = 64,626 × 13,900
  4. Step 4: Simplify right side
    43,084x = 898,301,400
  5. Step 5: Solve for x
    x = 898,301,400/43,084
  6. Step 6: Final answer
    x = 20,850

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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.