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Finding the Fourth Proportional to 2,707.86, 3,735.27 and 1,856.45

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Solution

The fourth proportional to 2,707.86, 3,735.27 and 1,856.45 is: 2,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.86 : 3,735.27 = 1,856.45 : x
  2. Step 2: Convert to fraction form
    2,707.86/3,735.27 = 1,856.45/x
  3. Step 3: Cross multiply
    2,707.86x = 3,735.27 × 1,856.45
  4. Step 4: Simplify right side
    2,707.86x = 6,934,323.32
  5. Step 5: Solve for x
    x = 6,934,323.32/2,707.86
  6. Step 6: Final answer
    x = 2,560.81

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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.