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Finding the Fourth Proportional to 34,965, 48,251.97 and 20,817

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Solution

The fourth proportional to 34,965, 48,251.97 and 20,817 is: 28,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,965 : 48,251.97 = 20,817 : x
  2. Step 2: Convert to fraction form
    34,965/48,251.97 = 20,817/x
  3. Step 3: Cross multiply
    34,965x = 48,251.97 × 20,817
  4. Step 4: Simplify right side
    34,965x = 1,004,461,259.49
  5. Step 5: Solve for x
    x = 1,004,461,259.49/34,965
  6. Step 6: Final answer
    x = 28,727.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.