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Finding the Fourth Proportional to 7,881.30, 11,816.55 and 3,723.30

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Solution

The fourth proportional to 7,881.30, 11,816.55 and 3,723.30 is: 5,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.30 : 11,816.55 = 3,723.30 : x
  2. Step 2: Convert to fraction form
    7,881.30/11,816.55 = 3,723.30/x
  3. Step 3: Cross multiply
    7,881.30x = 11,816.55 × 3,723.30
  4. Step 4: Simplify right side
    7,881.30x = 43,996,560.62
  5. Step 5: Solve for x
    x = 43,996,560.62/7,881.30
  6. Step 6: Final answer
    x = 5,582.40

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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.