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Finding the Fourth Proportional to 7,877.84, 10,871.75 and 4,520.80

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Solution

The fourth proportional to 7,877.84, 10,871.75 and 4,520.80 is: 6,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.84 : 10,871.75 = 4,520.80 : x
  2. Step 2: Convert to fraction form
    7,877.84/10,871.75 = 4,520.80/x
  3. Step 3: Cross multiply
    7,877.84x = 10,871.75 × 4,520.80
  4. Step 4: Simplify right side
    7,877.84x = 49,148,930.44
  5. Step 5: Solve for x
    x = 49,148,930.44/7,877.84
  6. Step 6: Final answer
    x = 6,238.88

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1.5x scale

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.