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Finding the Fourth Proportional to 3,885.38, 5,828.98 and 1,288.31

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Solution

The fourth proportional to 3,885.38, 5,828.98 and 1,288.31 is: 1,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.38 : 5,828.98 = 1,288.31 : x
  2. Step 2: Convert to fraction form
    3,885.38/5,828.98 = 1,288.31/x
  3. Step 3: Cross multiply
    3,885.38x = 5,828.98 × 1,288.31
  4. Step 4: Simplify right side
    3,885.38x = 7,509,544.58
  5. Step 5: Solve for x
    x = 7,509,544.58/3,885.38
  6. Step 6: Final answer
    x = 1,932.77

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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.