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Finding the Fourth Proportional to 2,857.86, 3,943.89 and 1,598.99

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Solution

The fourth proportional to 2,857.86, 3,943.89 and 1,598.99 is: 2,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.86 : 3,943.89 = 1,598.99 : x
  2. Step 2: Convert to fraction form
    2,857.86/3,943.89 = 1,598.99/x
  3. Step 3: Cross multiply
    2,857.86x = 3,943.89 × 1,598.99
  4. Step 4: Simplify right side
    2,857.86x = 6,306,220.95
  5. Step 5: Solve for x
    x = 6,306,220.95/2,857.86
  6. Step 6: Final answer
    x = 2,206.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.