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Finding the Fourth Proportional to 2,039.66, 2,813.13 and 1,803.86

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Solution

The fourth proportional to 2,039.66, 2,813.13 and 1,803.86 is: 2,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.66 : 2,813.13 = 1,803.86 : x
  2. Step 2: Convert to fraction form
    2,039.66/2,813.13 = 1,803.86/x
  3. Step 3: Cross multiply
    2,039.66x = 2,813.13 × 1,803.86
  4. Step 4: Simplify right side
    2,039.66x = 5,074,492.68
  5. Step 5: Solve for x
    x = 5,074,492.68/2,039.66
  6. Step 6: Final answer
    x = 2,487.91

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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.