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Finding the Fourth Proportional to 2,637.86, 3,945.15 and 2,347.43

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Solution

The fourth proportional to 2,637.86, 3,945.15 and 2,347.43 is: 3,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.86 : 3,945.15 = 2,347.43 : x
  2. Step 2: Convert to fraction form
    2,637.86/3,945.15 = 2,347.43/x
  3. Step 3: Cross multiply
    2,637.86x = 3,945.15 × 2,347.43
  4. Step 4: Simplify right side
    2,637.86x = 9,260,943.74
  5. Step 5: Solve for x
    x = 9,260,943.74/2,637.86
  6. Step 6: Final answer
    x = 3,510.79

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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.