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Finding the Fourth Proportional to 2,790.42, 4,184.94 and 816.06

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Solution

The fourth proportional to 2,790.42, 4,184.94 and 816.06 is: 1,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.42 : 4,184.94 = 816.06 : x
  2. Step 2: Convert to fraction form
    2,790.42/4,184.94 = 816.06/x
  3. Step 3: Cross multiply
    2,790.42x = 4,184.94 × 816.06
  4. Step 4: Simplify right side
    2,790.42x = 3,415,162.14
  5. Step 5: Solve for x
    x = 3,415,162.14/2,790.42
  6. Step 6: Final answer
    x = 1,223.89

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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.