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Finding the Fourth Proportional to 7,885, 10,881.30 and 4,573

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Solution

The fourth proportional to 7,885, 10,881.30 and 4,573 is: 6,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885 : 10,881.30 = 4,573 : x
  2. Step 2: Convert to fraction form
    7,885/10,881.30 = 4,573/x
  3. Step 3: Cross multiply
    7,885x = 10,881.30 × 4,573
  4. Step 4: Simplify right side
    7,885x = 49,760,184.90
  5. Step 5: Solve for x
    x = 49,760,184.90/7,885
  6. Step 6: Final answer
    x = 6,310.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.