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Finding the Fourth Proportional to 2,857.86, 4,285.41 and 1,624.95

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Solution

The fourth proportional to 2,857.86, 4,285.41 and 1,624.95 is: 2,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.86 : 4,285.41 = 1,624.95 : x
  2. Step 2: Convert to fraction form
    2,857.86/4,285.41 = 1,624.95/x
  3. Step 3: Cross multiply
    2,857.86x = 4,285.41 × 1,624.95
  4. Step 4: Simplify right side
    2,857.86x = 6,963,576.98
  5. Step 5: Solve for x
    x = 6,963,576.98/2,857.86
  6. Step 6: Final answer
    x = 2,436.64

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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.