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Finding the Fourth Proportional to 3,885.69, 5,826.65 and 1,287.75

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Solution

The fourth proportional to 3,885.69, 5,826.65 and 1,287.75 is: 1,931.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.69 : 5,826.65 = 1,287.75 : x
  2. Step 2: Convert to fraction form
    3,885.69/5,826.65 = 1,287.75/x
  3. Step 3: Cross multiply
    3,885.69x = 5,826.65 × 1,287.75
  4. Step 4: Simplify right side
    3,885.69x = 7,503,262.10
  5. Step 5: Solve for x
    x = 7,503,262.10/3,885.69
  6. Step 6: Final answer
    x = 1,931.00

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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.