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Finding the Fourth Proportional to 12,117.99, 16,716.87 and 10,522.56

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Solution

The fourth proportional to 12,117.99, 16,716.87 and 10,522.56 is: 14,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.99 : 16,716.87 = 10,522.56 : x
  2. Step 2: Convert to fraction form
    12,117.99/16,716.87 = 10,522.56/x
  3. Step 3: Cross multiply
    12,117.99x = 16,716.87 × 10,522.56
  4. Step 4: Simplify right side
    12,117.99x = 175,904,267.59
  5. Step 5: Solve for x
    x = 175,904,267.59/12,117.99
  6. Step 6: Final answer
    x = 14,515.96

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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.