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Finding the Fourth Proportional to 7,847.47, 10,831.37 and 4,492.22

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Solution

The fourth proportional to 7,847.47, 10,831.37 and 4,492.22 is: 6,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.47 : 10,831.37 = 4,492.22 : x
  2. Step 2: Convert to fraction form
    7,847.47/10,831.37 = 4,492.22/x
  3. Step 3: Cross multiply
    7,847.47x = 10,831.37 × 4,492.22
  4. Step 4: Simplify right side
    7,847.47x = 48,656,876.06
  5. Step 5: Solve for x
    x = 48,656,876.06/7,847.47
  6. Step 6: Final answer
    x = 6,200.33

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