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Finding the Fourth Proportional to 2,790.72, 4,184.46 and 842.40

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Solution

The fourth proportional to 2,790.72, 4,184.46 and 842.40 is: 1,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.72 : 4,184.46 = 842.40 : x
  2. Step 2: Convert to fraction form
    2,790.72/4,184.46 = 842.40/x
  3. Step 3: Cross multiply
    2,790.72x = 4,184.46 × 842.40
  4. Step 4: Simplify right side
    2,790.72x = 3,524,989.10
  5. Step 5: Solve for x
    x = 3,524,989.10/2,790.72
  6. Step 6: Final answer
    x = 1,263.11

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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.