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Finding the Fourth Proportional to 3,828.29, 5,728.76 and 3,000.88

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Solution

The fourth proportional to 3,828.29, 5,728.76 and 3,000.88 is: 4,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.29 : 5,728.76 = 3,000.88 : x
  2. Step 2: Convert to fraction form
    3,828.29/5,728.76 = 3,000.88/x
  3. Step 3: Cross multiply
    3,828.29x = 5,728.76 × 3,000.88
  4. Step 4: Simplify right side
    3,828.29x = 17,191,277.66
  5. Step 5: Solve for x
    x = 17,191,277.66/3,828.29
  6. Step 6: Final answer
    x = 4,490.59

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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.