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Finding the Fourth Proportional to 16,138.94, 22,265.51 and 11,900.07

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Solution

The fourth proportional to 16,138.94, 22,265.51 and 11,900.07 is: 16,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.94 : 22,265.51 = 11,900.07 : x
  2. Step 2: Convert to fraction form
    16,138.94/22,265.51 = 11,900.07/x
  3. Step 3: Cross multiply
    16,138.94x = 22,265.51 × 11,900.07
  4. Step 4: Simplify right side
    16,138.94x = 264,961,068.09
  5. Step 5: Solve for x
    x = 264,961,068.09/16,138.94
  6. Step 6: Final answer
    x = 16,417.51

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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.