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Finding the Fourth Proportional to 2,278.13, 3,415.06 and 816.48

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Solution

The fourth proportional to 2,278.13, 3,415.06 and 816.48 is: 1,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.13 : 3,415.06 = 816.48 : x
  2. Step 2: Convert to fraction form
    2,278.13/3,415.06 = 816.48/x
  3. Step 3: Cross multiply
    2,278.13x = 3,415.06 × 816.48
  4. Step 4: Simplify right side
    2,278.13x = 2,788,329.21
  5. Step 5: Solve for x
    x = 2,788,329.21/2,278.13
  6. Step 6: Final answer
    x = 1,223.96

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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.