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Finding the Fourth Proportional to 7,873.48, 11,813.14 and 3,487.80

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Solution

The fourth proportional to 7,873.48, 11,813.14 and 3,487.80 is: 5,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.48 : 11,813.14 = 3,487.80 : x
  2. Step 2: Convert to fraction form
    7,873.48/11,813.14 = 3,487.80/x
  3. Step 3: Cross multiply
    7,873.48x = 11,813.14 × 3,487.80
  4. Step 4: Simplify right side
    7,873.48x = 41,201,869.69
  5. Step 5: Solve for x
    x = 41,201,869.69/7,873.48
  6. Step 6: Final answer
    x = 5,232.99

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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.