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Finding the Fourth Proportional to 2,278.69, 3,415.99 and 817.50

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Solution

The fourth proportional to 2,278.69, 3,415.99 and 817.50 is: 1,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.69 : 3,415.99 = 817.50 : x
  2. Step 2: Convert to fraction form
    2,278.69/3,415.99 = 817.50/x
  3. Step 3: Cross multiply
    2,278.69x = 3,415.99 × 817.50
  4. Step 4: Simplify right side
    2,278.69x = 2,792,584.12
  5. Step 5: Solve for x
    x = 2,792,584.12/2,278.69
  6. Step 6: Final answer
    x = 1,225.52

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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.