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Finding the Fourth Proportional to 5,205.78, 7,805.88 and 2,280.65

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Solution

The fourth proportional to 5,205.78, 7,805.88 and 2,280.65 is: 3,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.78 : 7,805.88 = 2,280.65 : x
  2. Step 2: Convert to fraction form
    5,205.78/7,805.88 = 2,280.65/x
  3. Step 3: Cross multiply
    5,205.78x = 7,805.88 × 2,280.65
  4. Step 4: Simplify right side
    5,205.78x = 17,802,441.19
  5. Step 5: Solve for x
    x = 17,802,441.19/5,205.78
  6. Step 6: Final answer
    x = 3,419.75

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1.5x scale

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.