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Finding the Fourth Proportional to 1,872.84, 2,809.53 and 574.50

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Solution

The fourth proportional to 1,872.84, 2,809.53 and 574.50 is: 861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.84 : 2,809.53 = 574.50 : x
  2. Step 2: Convert to fraction form
    1,872.84/2,809.53 = 574.50/x
  3. Step 3: Cross multiply
    1,872.84x = 2,809.53 × 574.50
  4. Step 4: Simplify right side
    1,872.84x = 1,614,074.99
  5. Step 5: Solve for x
    x = 1,614,074.99/1,872.84
  6. Step 6: Final answer
    x = 861.83

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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.