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Finding the Fourth Proportional to 12,129.76, 16,738.16 and 6,823.55

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Solution

The fourth proportional to 12,129.76, 16,738.16 and 6,823.55 is: 9,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.76 : 16,738.16 = 6,823.55 : x
  2. Step 2: Convert to fraction form
    12,129.76/16,738.16 = 6,823.55/x
  3. Step 3: Cross multiply
    12,129.76x = 16,738.16 × 6,823.55
  4. Step 4: Simplify right side
    12,129.76x = 114,213,671.67
  5. Step 5: Solve for x
    x = 114,213,671.67/12,129.76
  6. Step 6: Final answer
    x = 9,415.99

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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.