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Finding the Fourth Proportional to 3,471.99, 5,207.93 and 839.47

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Solution

The fourth proportional to 3,471.99, 5,207.93 and 839.47 is: 1,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.99 : 5,207.93 = 839.47 : x
  2. Step 2: Convert to fraction form
    3,471.99/5,207.93 = 839.47/x
  3. Step 3: Cross multiply
    3,471.99x = 5,207.93 × 839.47
  4. Step 4: Simplify right side
    3,471.99x = 4,371,901.00
  5. Step 5: Solve for x
    x = 4,371,901.00/3,471.99
  6. Step 6: Final answer
    x = 1,259.19

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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.