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Finding the Fourth Proportional to 7,881.84, 11,820.04 and 2,686.48

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Solution

The fourth proportional to 7,881.84, 11,820.04 and 2,686.48 is: 4,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.84 : 11,820.04 = 2,686.48 : x
  2. Step 2: Convert to fraction form
    7,881.84/11,820.04 = 2,686.48/x
  3. Step 3: Cross multiply
    7,881.84x = 11,820.04 × 2,686.48
  4. Step 4: Simplify right side
    7,881.84x = 31,754,301.06
  5. Step 5: Solve for x
    x = 31,754,301.06/7,881.84
  6. Step 6: Final answer
    x = 4,028.79

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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.