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Finding the Fourth Proportional to 43,080, 64,620 and 13,896

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Solution

The fourth proportional to 43,080, 64,620 and 13,896 is: 20,844

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,080 : 64,620 = 13,896 : x
  2. Step 2: Convert to fraction form
    43,080/64,620 = 13,896/x
  3. Step 3: Cross multiply
    43,080x = 64,620 × 13,896
  4. Step 4: Simplify right side
    43,080x = 897,959,520
  5. Step 5: Solve for x
    x = 897,959,520/43,080
  6. Step 6: Final answer
    x = 20,844

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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.