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Finding the Fourth Proportional to 1,769.76, 2,648.64 and 1,516.32

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Solution

The fourth proportional to 1,769.76, 2,648.64 and 1,516.32 is: 2,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.76 : 2,648.64 = 1,516.32 : x
  2. Step 2: Convert to fraction form
    1,769.76/2,648.64 = 1,516.32/x
  3. Step 3: Cross multiply
    1,769.76x = 2,648.64 × 1,516.32
  4. Step 4: Simplify right side
    1,769.76x = 4,016,185.80
  5. Step 5: Solve for x
    x = 4,016,185.80/1,769.76
  6. Step 6: Final answer
    x = 2,269.34

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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.