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Finding the Fourth Proportional to 10,132.96, 13,989.98 and 6,361.32

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Solution

The fourth proportional to 10,132.96, 13,989.98 and 6,361.32 is: 8,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.96 : 13,989.98 = 6,361.32 : x
  2. Step 2: Convert to fraction form
    10,132.96/13,989.98 = 6,361.32/x
  3. Step 3: Cross multiply
    10,132.96x = 13,989.98 × 6,361.32
  4. Step 4: Simplify right side
    10,132.96x = 88,994,739.57
  5. Step 5: Solve for x
    x = 88,994,739.57/10,132.96
  6. Step 6: Final answer
    x = 8,782.70

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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.