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Finding the Fourth Proportional to 7,854.79, 11,784.17 and 2,308.31

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Solution

The fourth proportional to 7,854.79, 11,784.17 and 2,308.31 is: 3,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.79 : 11,784.17 = 2,308.31 : x
  2. Step 2: Convert to fraction form
    7,854.79/11,784.17 = 2,308.31/x
  3. Step 3: Cross multiply
    7,854.79x = 11,784.17 × 2,308.31
  4. Step 4: Simplify right side
    7,854.79x = 27,201,517.45
  5. Step 5: Solve for x
    x = 27,201,517.45/7,854.79
  6. Step 6: Final answer
    x = 3,463.05

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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.