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Finding the Fourth Proportional to 6,145.56, 8,480.42 and 3,787.74

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Solution

The fourth proportional to 6,145.56, 8,480.42 and 3,787.74 is: 5,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.56 : 8,480.42 = 3,787.74 : x
  2. Step 2: Convert to fraction form
    6,145.56/8,480.42 = 3,787.74/x
  3. Step 3: Cross multiply
    6,145.56x = 8,480.42 × 3,787.74
  4. Step 4: Simplify right side
    6,145.56x = 32,121,607.11
  5. Step 5: Solve for x
    x = 32,121,607.11/6,145.56
  6. Step 6: Final answer
    x = 5,226.80

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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.