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Finding the Fourth Proportional to 2,051.78, 3,077.64 and 665.16

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Solution

The fourth proportional to 2,051.78, 3,077.64 and 665.16 is: 997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.78 : 3,077.64 = 665.16 : x
  2. Step 2: Convert to fraction form
    2,051.78/3,077.64 = 665.16/x
  3. Step 3: Cross multiply
    2,051.78x = 3,077.64 × 665.16
  4. Step 4: Simplify right side
    2,051.78x = 2,047,123.02
  5. Step 5: Solve for x
    x = 2,047,123.02/2,051.78
  6. Step 6: Final answer
    x = 997.73

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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.