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Finding the Fourth Proportional to 4,139, 6,208.86 and 1,061

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Solution

The fourth proportional to 4,139, 6,208.86 and 1,061 is: 1,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139 : 6,208.86 = 1,061 : x
  2. Step 2: Convert to fraction form
    4,139/6,208.86 = 1,061/x
  3. Step 3: Cross multiply
    4,139x = 6,208.86 × 1,061
  4. Step 4: Simplify right side
    4,139x = 6,587,600.46
  5. Step 5: Solve for x
    x = 6,587,600.46/4,139
  6. Step 6: Final answer
    x = 1,591.59

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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.