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Finding the Fourth Proportional to 1,803.78, 2,687.16 and 1,737.65

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Solution

The fourth proportional to 1,803.78, 2,687.16 and 1,737.65 is: 2,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.78 : 2,687.16 = 1,737.65 : x
  2. Step 2: Convert to fraction form
    1,803.78/2,687.16 = 1,737.65/x
  3. Step 3: Cross multiply
    1,803.78x = 2,687.16 × 1,737.65
  4. Step 4: Simplify right side
    1,803.78x = 4,669,330.14
  5. Step 5: Solve for x
    x = 4,669,330.14/1,803.78
  6. Step 6: Final answer
    x = 2,588.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.