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Finding the Fourth Proportional to 18,316, 27,472.72 and 9,555.84

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Solution

The fourth proportional to 18,316, 27,472.72 and 9,555.84 is: 14,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,316 : 27,472.72 = 9,555.84 : x
  2. Step 2: Convert to fraction form
    18,316/27,472.72 = 9,555.84/x
  3. Step 3: Cross multiply
    18,316x = 27,472.72 × 9,555.84
  4. Step 4: Simplify right side
    18,316x = 262,524,916.68
  5. Step 5: Solve for x
    x = 262,524,916.68/18,316
  6. Step 6: Final answer
    x = 14,333.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.