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Finding the Fourth Proportional to 18,676.81, 28,021.88 and 9,316

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Solution

The fourth proportional to 18,676.81, 28,021.88 and 9,316 is: 13,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,676.81 : 28,021.88 = 9,316 : x
  2. Step 2: Convert to fraction form
    18,676.81/28,021.88 = 9,316/x
  3. Step 3: Cross multiply
    18,676.81x = 28,021.88 × 9,316
  4. Step 4: Simplify right side
    18,676.81x = 261,051,834.08
  5. Step 5: Solve for x
    x = 261,051,834.08/18,676.81
  6. Step 6: Final answer
    x = 13,977.32

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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.