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Finding the Fourth Proportional to 3,884.63, 5,827.85 and 1,287.56

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Solution

The fourth proportional to 3,884.63, 5,827.85 and 1,287.56 is: 1,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.63 : 5,827.85 = 1,287.56 : x
  2. Step 2: Convert to fraction form
    3,884.63/5,827.85 = 1,287.56/x
  3. Step 3: Cross multiply
    3,884.63x = 5,827.85 × 1,287.56
  4. Step 4: Simplify right side
    3,884.63x = 7,503,719.51
  5. Step 5: Solve for x
    x = 7,503,719.51/3,884.63
  6. Step 6: Final answer
    x = 1,931.65

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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.