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Finding the Fourth Proportional to 7,881.55, 11,826.91 and 2,954.63

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Solution

The fourth proportional to 7,881.55, 11,826.91 and 2,954.63 is: 4,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.55 : 11,826.91 = 2,954.63 : x
  2. Step 2: Convert to fraction form
    7,881.55/11,826.91 = 2,954.63/x
  3. Step 3: Cross multiply
    7,881.55x = 11,826.91 × 2,954.63
  4. Step 4: Simplify right side
    7,881.55x = 34,944,109.83
  5. Step 5: Solve for x
    x = 34,944,109.83/7,881.55
  6. Step 6: Final answer
    x = 4,433.66

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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.