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Finding the Fourth Proportional to 8,433.18, 12,632.85 and 7,744.23

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Solution

The fourth proportional to 8,433.18, 12,632.85 and 7,744.23 is: 11,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.18 : 12,632.85 = 7,744.23 : x
  2. Step 2: Convert to fraction form
    8,433.18/12,632.85 = 7,744.23/x
  3. Step 3: Cross multiply
    8,433.18x = 12,632.85 × 7,744.23
  4. Step 4: Simplify right side
    8,433.18x = 97,831,695.96
  5. Step 5: Solve for x
    x = 97,831,695.96/8,433.18
  6. Step 6: Final answer
    x = 11,600.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.