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Finding the Fourth Proportional to 2,790.48, 4,186.12 and 842.48

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Solution

The fourth proportional to 2,790.48, 4,186.12 and 842.48 is: 1,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.48 : 4,186.12 = 842.48 : x
  2. Step 2: Convert to fraction form
    2,790.48/4,186.12 = 842.48/x
  3. Step 3: Cross multiply
    2,790.48x = 4,186.12 × 842.48
  4. Step 4: Simplify right side
    2,790.48x = 3,526,722.38
  5. Step 5: Solve for x
    x = 3,526,722.38/2,790.48
  6. Step 6: Final answer
    x = 1,263.84

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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.