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Finding the Fourth Proportional to 6,081, 8,390.70 and 3,428.52

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Solution

The fourth proportional to 6,081, 8,390.70 and 3,428.52 is: 4,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081 : 8,390.70 = 3,428.52 : x
  2. Step 2: Convert to fraction form
    6,081/8,390.70 = 3,428.52/x
  3. Step 3: Cross multiply
    6,081x = 8,390.70 × 3,428.52
  4. Step 4: Simplify right side
    6,081x = 28,767,682.76
  5. Step 5: Solve for x
    x = 28,767,682.76/6,081
  6. Step 6: Final answer
    x = 4,730.75

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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.