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Finding the Fourth Proportional to 7,491.86, 11,239.24 and 2,874.50

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Solution

The fourth proportional to 7,491.86, 11,239.24 and 2,874.50 is: 4,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.86 : 11,239.24 = 2,874.50 : x
  2. Step 2: Convert to fraction form
    7,491.86/11,239.24 = 2,874.50/x
  3. Step 3: Cross multiply
    7,491.86x = 11,239.24 × 2,874.50
  4. Step 4: Simplify right side
    7,491.86x = 32,307,195.38
  5. Step 5: Solve for x
    x = 32,307,195.38/7,491.86
  6. Step 6: Final answer
    x = 4,312.31

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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.