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Finding the Fourth Proportional to 6,427.76, 8,871.80 and 4,185.74

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Solution

The fourth proportional to 6,427.76, 8,871.80 and 4,185.74 is: 5,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.76 : 8,871.80 = 4,185.74 : x
  2. Step 2: Convert to fraction form
    6,427.76/8,871.80 = 4,185.74/x
  3. Step 3: Cross multiply
    6,427.76x = 8,871.80 × 4,185.74
  4. Step 4: Simplify right side
    6,427.76x = 37,135,048.13
  5. Step 5: Solve for x
    x = 37,135,048.13/6,427.76
  6. Step 6: Final answer
    x = 5,777.29

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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.