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Finding the Fourth Proportional to 3,145.38, 4,718.06 and 805.38

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Solution

The fourth proportional to 3,145.38, 4,718.06 and 805.38 is: 1,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.38 : 4,718.06 = 805.38 : x
  2. Step 2: Convert to fraction form
    3,145.38/4,718.06 = 805.38/x
  3. Step 3: Cross multiply
    3,145.38x = 4,718.06 × 805.38
  4. Step 4: Simplify right side
    3,145.38x = 3,799,827.14
  5. Step 5: Solve for x
    x = 3,799,827.14/3,145.38
  6. Step 6: Final answer
    x = 1,208.07

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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.