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Finding the Fourth Proportional to 2,790.86, 4,186.16 and 843

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Solution

The fourth proportional to 2,790.86, 4,186.16 and 843 is: 1,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.86 : 4,186.16 = 843 : x
  2. Step 2: Convert to fraction form
    2,790.86/4,186.16 = 843/x
  3. Step 3: Cross multiply
    2,790.86x = 4,186.16 × 843
  4. Step 4: Simplify right side
    2,790.86x = 3,528,932.88
  5. Step 5: Solve for x
    x = 3,528,932.88/2,790.86
  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.