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Finding the Fourth Proportional to 6,193, 8,547.42 and 3,709

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Solution

The fourth proportional to 6,193, 8,547.42 and 3,709 is: 5,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193 : 8,547.42 = 3,709 : x
  2. Step 2: Convert to fraction form
    6,193/8,547.42 = 3,709/x
  3. Step 3: Cross multiply
    6,193x = 8,547.42 × 3,709
  4. Step 4: Simplify right side
    6,193x = 31,702,380.78
  5. Step 5: Solve for x
    x = 31,702,380.78/6,193
  6. Step 6: Final answer
    x = 5,119.07

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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.