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Finding the Fourth Proportional to 43,283, 64,918 and 13,697

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Solution

The fourth proportional to 43,283, 64,918 and 13,697 is: 20,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,283 : 64,918 = 13,697 : x
  2. Step 2: Convert to fraction form
    43,283/64,918 = 13,697/x
  3. Step 3: Cross multiply
    43,283x = 64,918 × 13,697
  4. Step 4: Simplify right side
    43,283x = 889,181,846
  5. Step 5: Solve for x
    x = 889,181,846/43,283
  6. Step 6: Final answer
    x = 20,543.44

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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.