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Finding the Fourth Proportional to 3,892.56, 5,828.40 and 2,428.80

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Solution

The fourth proportional to 3,892.56, 5,828.40 and 2,428.80 is: 3,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.56 : 5,828.40 = 2,428.80 : x
  2. Step 2: Convert to fraction form
    3,892.56/5,828.40 = 2,428.80/x
  3. Step 3: Cross multiply
    3,892.56x = 5,828.40 × 2,428.80
  4. Step 4: Simplify right side
    3,892.56x = 14,156,017.92
  5. Step 5: Solve for x
    x = 14,156,017.92/3,892.56
  6. Step 6: Final answer
    x = 3,636.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.