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Finding the Fourth Proportional to 1,801.06, 2,685.79 and 1,784.64

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Solution

The fourth proportional to 1,801.06, 2,685.79 and 1,784.64 is: 2,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.06 : 2,685.79 = 1,784.64 : x
  2. Step 2: Convert to fraction form
    1,801.06/2,685.79 = 1,784.64/x
  3. Step 3: Cross multiply
    1,801.06x = 2,685.79 × 1,784.64
  4. Step 4: Simplify right side
    1,801.06x = 4,793,168.27
  5. Step 5: Solve for x
    x = 4,793,168.27/1,801.06
  6. Step 6: Final answer
    x = 2,661.30

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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.