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Finding the Fourth Proportional to 3,885.14, 5,828.52 and 1,287.88

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Solution

The fourth proportional to 3,885.14, 5,828.52 and 1,287.88 is: 1,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.14 : 5,828.52 = 1,287.88 : x
  2. Step 2: Convert to fraction form
    3,885.14/5,828.52 = 1,287.88/x
  3. Step 3: Cross multiply
    3,885.14x = 5,828.52 × 1,287.88
  4. Step 4: Simplify right side
    3,885.14x = 7,506,434.34
  5. Step 5: Solve for x
    x = 7,506,434.34/3,885.14
  6. Step 6: Final answer
    x = 1,932.09

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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.