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Finding the Fourth Proportional to 2,790.62, 4,186.58 and 842.84

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Solution

The fourth proportional to 2,790.62, 4,186.58 and 842.84 is: 1,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.62 : 4,186.58 = 842.84 : x
  2. Step 2: Convert to fraction form
    2,790.62/4,186.58 = 842.84/x
  3. Step 3: Cross multiply
    2,790.62x = 4,186.58 × 842.84
  4. Step 4: Simplify right side
    2,790.62x = 3,528,617.09
  5. Step 5: Solve for x
    x = 3,528,617.09/2,790.62
  6. Step 6: Final answer
    x = 1,264.46

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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.