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Finding the Fourth Proportional to 6,428.40, 8,872.74 and 4,039.80

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Solution

The fourth proportional to 6,428.40, 8,872.74 and 4,039.80 is: 5,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.40 : 8,872.74 = 4,039.80 : x
  2. Step 2: Convert to fraction form
    6,428.40/8,872.74 = 4,039.80/x
  3. Step 3: Cross multiply
    6,428.40x = 8,872.74 × 4,039.80
  4. Step 4: Simplify right side
    6,428.40x = 35,844,095.05
  5. Step 5: Solve for x
    x = 35,844,095.05/6,428.40
  6. Step 6: Final answer
    x = 5,575.90

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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.