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Finding the Fourth Proportional to 12,232.76, 16,881.35 and 6,643.76

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Solution

The fourth proportional to 12,232.76, 16,881.35 and 6,643.76 is: 9,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.76 : 16,881.35 = 6,643.76 : x
  2. Step 2: Convert to fraction form
    12,232.76/16,881.35 = 6,643.76/x
  3. Step 3: Cross multiply
    12,232.76x = 16,881.35 × 6,643.76
  4. Step 4: Simplify right side
    12,232.76x = 112,155,520.25
  5. Step 5: Solve for x
    x = 112,155,520.25/12,232.76
  6. Step 6: Final answer
    x = 9,168.46

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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.