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Finding the Fourth Proportional to 5,158.37, 7,736.81 and 1,648.77

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Solution

The fourth proportional to 5,158.37, 7,736.81 and 1,648.77 is: 2,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.37 : 7,736.81 = 1,648.77 : x
  2. Step 2: Convert to fraction form
    5,158.37/7,736.81 = 1,648.77/x
  3. Step 3: Cross multiply
    5,158.37x = 7,736.81 × 1,648.77
  4. Step 4: Simplify right side
    5,158.37x = 12,756,211.98
  5. Step 5: Solve for x
    x = 12,756,211.98/5,158.37
  6. Step 6: Final answer
    x = 2,472.92

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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.