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Finding the Fourth Proportional to 4,857.64, 7,286.90 and 1,347.86

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Solution

The fourth proportional to 4,857.64, 7,286.90 and 1,347.86 is: 2,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.64 : 7,286.90 = 1,347.86 : x
  2. Step 2: Convert to fraction form
    4,857.64/7,286.90 = 1,347.86/x
  3. Step 3: Cross multiply
    4,857.64x = 7,286.90 × 1,347.86
  4. Step 4: Simplify right side
    4,857.64x = 9,821,732.51
  5. Step 5: Solve for x
    x = 9,821,732.51/4,857.64
  6. Step 6: Final answer
    x = 2,021.92

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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.