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Finding the Fourth Proportional to 1,784.50, 2,676.72 and 1,473.46

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Solution

The fourth proportional to 1,784.50, 2,676.72 and 1,473.46 is: 2,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.50 : 2,676.72 = 1,473.46 : x
  2. Step 2: Convert to fraction form
    1,784.50/2,676.72 = 1,473.46/x
  3. Step 3: Cross multiply
    1,784.50x = 2,676.72 × 1,473.46
  4. Step 4: Simplify right side
    1,784.50x = 3,944,039.85
  5. Step 5: Solve for x
    x = 3,944,039.85/1,784.50
  6. Step 6: Final answer
    x = 2,210.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.