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Finding the Fourth Proportional to 2,516.45, 3,769.76 and 1,648.13

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Solution

The fourth proportional to 2,516.45, 3,769.76 and 1,648.13 is: 2,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.45 : 3,769.76 = 1,648.13 : x
  2. Step 2: Convert to fraction form
    2,516.45/3,769.76 = 1,648.13/x
  3. Step 3: Cross multiply
    2,516.45x = 3,769.76 × 1,648.13
  4. Step 4: Simplify right side
    2,516.45x = 6,213,039.82
  5. Step 5: Solve for x
    x = 6,213,039.82/2,516.45
  6. Step 6: Final answer
    x = 2,468.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.