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Finding the Fourth Proportional to 2,731.36, 4,097.76 and 976.54

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Solution

The fourth proportional to 2,731.36, 4,097.76 and 976.54 is: 1,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.36 : 4,097.76 = 976.54 : x
  2. Step 2: Convert to fraction form
    2,731.36/4,097.76 = 976.54/x
  3. Step 3: Cross multiply
    2,731.36x = 4,097.76 × 976.54
  4. Step 4: Simplify right side
    2,731.36x = 4,001,613.74
  5. Step 5: Solve for x
    x = 4,001,613.74/2,731.36
  6. Step 6: Final answer
    x = 1,465.06

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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.