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Finding the Fourth Proportional to 11,900.77, 16,423.50 and 7,184.14

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Solution

The fourth proportional to 11,900.77, 16,423.50 and 7,184.14 is: 9,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.77 : 16,423.50 = 7,184.14 : x
  2. Step 2: Convert to fraction form
    11,900.77/16,423.50 = 7,184.14/x
  3. Step 3: Cross multiply
    11,900.77x = 16,423.50 × 7,184.14
  4. Step 4: Simplify right side
    11,900.77x = 117,988,723.29
  5. Step 5: Solve for x
    x = 117,988,723.29/11,900.77
  6. Step 6: Final answer
    x = 9,914.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.