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Finding the Fourth Proportional to 2,601.65, 3,901.70 and 1,415.50

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Solution

The fourth proportional to 2,601.65, 3,901.70 and 1,415.50 is: 2,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.65 : 3,901.70 = 1,415.50 : x
  2. Step 2: Convert to fraction form
    2,601.65/3,901.70 = 1,415.50/x
  3. Step 3: Cross multiply
    2,601.65x = 3,901.70 × 1,415.50
  4. Step 4: Simplify right side
    2,601.65x = 5,522,850.13
  5. Step 5: Solve for x
    x = 5,522,850.13/2,601.65
  6. Step 6: Final answer
    x = 2,122.82

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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.