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Finding the Fourth Proportional to 7,855.88, 11,781.54 and 2,308.19

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Solution

The fourth proportional to 7,855.88, 11,781.54 and 2,308.19 is: 3,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.88 : 11,781.54 = 2,308.19 : x
  2. Step 2: Convert to fraction form
    7,855.88/11,781.54 = 2,308.19/x
  3. Step 3: Cross multiply
    7,855.88x = 11,781.54 × 2,308.19
  4. Step 4: Simplify right side
    7,855.88x = 27,194,032.81
  5. Step 5: Solve for x
    x = 27,194,032.81/7,855.88
  6. Step 6: Final answer
    x = 3,461.62

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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.