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Finding the Fourth Proportional to 2,602.37, 3,896.70 and 1,559.90

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Solution

The fourth proportional to 2,602.37, 3,896.70 and 1,559.90 is: 2,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.37 : 3,896.70 = 1,559.90 : x
  2. Step 2: Convert to fraction form
    2,602.37/3,896.70 = 1,559.90/x
  3. Step 3: Cross multiply
    2,602.37x = 3,896.70 × 1,559.90
  4. Step 4: Simplify right side
    2,602.37x = 6,078,462.33
  5. Step 5: Solve for x
    x = 6,078,462.33/2,602.37
  6. Step 6: Final answer
    x = 2,335.74

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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.