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Finding the Fourth Proportional to 2,666.48, 4,000.24 and 936.32

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Solution

The fourth proportional to 2,666.48, 4,000.24 and 936.32 is: 1,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.48 : 4,000.24 = 936.32 : x
  2. Step 2: Convert to fraction form
    2,666.48/4,000.24 = 936.32/x
  3. Step 3: Cross multiply
    2,666.48x = 4,000.24 × 936.32
  4. Step 4: Simplify right side
    2,666.48x = 3,745,504.72
  5. Step 5: Solve for x
    x = 3,745,504.72/2,666.48
  6. Step 6: Final answer
    x = 1,404.66

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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.