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Finding the Fourth Proportional to 5,805, 8,707.70 and 1,909.71

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Solution

The fourth proportional to 5,805, 8,707.70 and 1,909.71 is: 2,864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805 : 8,707.70 = 1,909.71 : x
  2. Step 2: Convert to fraction form
    5,805/8,707.70 = 1,909.71/x
  3. Step 3: Cross multiply
    5,805x = 8,707.70 × 1,909.71
  4. Step 4: Simplify right side
    5,805x = 16,629,186.54
  5. Step 5: Solve for x
    x = 16,629,186.54/5,805
  6. Step 6: Final answer
    x = 2,864.63

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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.