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Finding the Fourth Proportional to 4,115, 6,173.06 and 1,340.76

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Solution

The fourth proportional to 4,115, 6,173.06 and 1,340.76 is: 2,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115 : 6,173.06 = 1,340.76 : x
  2. Step 2: Convert to fraction form
    4,115/6,173.06 = 1,340.76/x
  3. Step 3: Cross multiply
    4,115x = 6,173.06 × 1,340.76
  4. Step 4: Simplify right side
    4,115x = 8,276,591.93
  5. Step 5: Solve for x
    x = 8,276,591.93/4,115
  6. Step 6: Final answer
    x = 2,011.32

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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.