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Finding the Fourth Proportional to 1,813.62, 2,720.00 and 838.79

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Solution

The fourth proportional to 1,813.62, 2,720.00 and 838.79 is: 1,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.62 : 2,720.00 = 838.79 : x
  2. Step 2: Convert to fraction form
    1,813.62/2,720.00 = 838.79/x
  3. Step 3: Cross multiply
    1,813.62x = 2,720.00 × 838.79
  4. Step 4: Simplify right side
    1,813.62x = 2,281,491.01
  5. Step 5: Solve for x
    x = 2,281,491.01/1,813.62
  6. Step 6: Final answer
    x = 1,257.98

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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.