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Finding the Fourth Proportional to 4,210.86, 5,811.42 and 2,347.86

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Solution

The fourth proportional to 4,210.86, 5,811.42 and 2,347.86 is: 3,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.86 : 5,811.42 = 2,347.86 : x
  2. Step 2: Convert to fraction form
    4,210.86/5,811.42 = 2,347.86/x
  3. Step 3: Cross multiply
    4,210.86x = 5,811.42 × 2,347.86
  4. Step 4: Simplify right side
    4,210.86x = 13,644,400.56
  5. Step 5: Solve for x
    x = 13,644,400.56/4,210.86
  6. Step 6: Final answer
    x = 3,240.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.