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Finding the Fourth Proportional to 7,877.98, 10,871.22 and 4,340.62

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Solution

The fourth proportional to 7,877.98, 10,871.22 and 4,340.62 is: 5,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.98 : 10,871.22 = 4,340.62 : x
  2. Step 2: Convert to fraction form
    7,877.98/10,871.22 = 4,340.62/x
  3. Step 3: Cross multiply
    7,877.98x = 10,871.22 × 4,340.62
  4. Step 4: Simplify right side
    7,877.98x = 47,187,834.96
  5. Step 5: Solve for x
    x = 47,187,834.96/7,877.98
  6. Step 6: Final answer
    x = 5,989.84

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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.