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Finding the Fourth Proportional to 43,012, 64,518 and 13,828

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Solution

The fourth proportional to 43,012, 64,518 and 13,828 is: 20,742

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,012 : 64,518 = 13,828 : x
  2. Step 2: Convert to fraction form
    43,012/64,518 = 13,828/x
  3. Step 3: Cross multiply
    43,012x = 64,518 × 13,828
  4. Step 4: Simplify right side
    43,012x = 892,154,904
  5. Step 5: Solve for x
    x = 892,154,904/43,012
  6. Step 6: Final answer
    x = 20,742

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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.