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Finding the Fourth Proportional to 2,451.86, 3,678.81 and 990.64

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Solution

The fourth proportional to 2,451.86, 3,678.81 and 990.64 is: 1,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.86 : 3,678.81 = 990.64 : x
  2. Step 2: Convert to fraction form
    2,451.86/3,678.81 = 990.64/x
  3. Step 3: Cross multiply
    2,451.86x = 3,678.81 × 990.64
  4. Step 4: Simplify right side
    2,451.86x = 3,644,376.34
  5. Step 5: Solve for x
    x = 3,644,376.34/2,451.86
  6. Step 6: Final answer
    x = 1,486.37

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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.