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Finding the Fourth Proportional to 2,857.86, 4,288.50 and 1,627.02

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Solution

The fourth proportional to 2,857.86, 4,288.50 and 1,627.02 is: 2,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.86 : 4,288.50 = 1,627.02 : x
  2. Step 2: Convert to fraction form
    2,857.86/4,288.50 = 1,627.02/x
  3. Step 3: Cross multiply
    2,857.86x = 4,288.50 × 1,627.02
  4. Step 4: Simplify right side
    2,857.86x = 6,977,475.27
  5. Step 5: Solve for x
    x = 6,977,475.27/2,857.86
  6. Step 6: Final answer
    x = 2,441.50

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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.