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Finding the Fourth Proportional to 1,803.69, 2,486.24 and 1,360.82

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Solution

The fourth proportional to 1,803.69, 2,486.24 and 1,360.82 is: 1,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.69 : 2,486.24 = 1,360.82 : x
  2. Step 2: Convert to fraction form
    1,803.69/2,486.24 = 1,360.82/x
  3. Step 3: Cross multiply
    1,803.69x = 2,486.24 × 1,360.82
  4. Step 4: Simplify right side
    1,803.69x = 3,383,305.88
  5. Step 5: Solve for x
    x = 3,383,305.88/1,803.69
  6. Step 6: Final answer
    x = 1,875.77

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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.