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Finding the Fourth Proportional to 5,238.50, 7,857.77 and 1,540.77

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Solution

The fourth proportional to 5,238.50, 7,857.77 and 1,540.77 is: 2,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.50 : 7,857.77 = 1,540.77 : x
  2. Step 2: Convert to fraction form
    5,238.50/7,857.77 = 1,540.77/x
  3. Step 3: Cross multiply
    5,238.50x = 7,857.77 × 1,540.77
  4. Step 4: Simplify right side
    5,238.50x = 12,107,008.58
  5. Step 5: Solve for x
    x = 12,107,008.58/5,238.50
  6. Step 6: Final answer
    x = 2,311.16

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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.