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Finding the Fourth Proportional to 7,874.48, 11,814.64 and 3,488.80

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Solution

The fourth proportional to 7,874.48, 11,814.64 and 3,488.80 is: 5,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.48 : 11,814.64 = 3,488.80 : x
  2. Step 2: Convert to fraction form
    7,874.48/11,814.64 = 3,488.80/x
  3. Step 3: Cross multiply
    7,874.48x = 11,814.64 × 3,488.80
  4. Step 4: Simplify right side
    7,874.48x = 41,218,916.03
  5. Step 5: Solve for x
    x = 41,218,916.03/7,874.48
  6. Step 6: Final answer
    x = 5,234.49

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1.5x scale

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.