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Finding the Fourth Proportional to 5,831.90, 8,727.30 and 3,641.66

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Solution

The fourth proportional to 5,831.90, 8,727.30 and 3,641.66 is: 5,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.90 : 8,727.30 = 3,641.66 : x
  2. Step 2: Convert to fraction form
    5,831.90/8,727.30 = 3,641.66/x
  3. Step 3: Cross multiply
    5,831.90x = 8,727.30 × 3,641.66
  4. Step 4: Simplify right side
    5,831.90x = 31,781,859.32
  5. Step 5: Solve for x
    x = 31,781,859.32/5,831.90
  6. Step 6: Final answer
    x = 5,449.66

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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.