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Finding the Fourth Proportional to 17,678.20, 26,516.70 and 4,530.70

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Solution

The fourth proportional to 17,678.20, 26,516.70 and 4,530.70 is: 6,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.20 : 26,516.70 = 4,530.70 : x
  2. Step 2: Convert to fraction form
    17,678.20/26,516.70 = 4,530.70/x
  3. Step 3: Cross multiply
    17,678.20x = 26,516.70 × 4,530.70
  4. Step 4: Simplify right side
    17,678.20x = 120,139,212.69
  5. Step 5: Solve for x
    x = 120,139,212.69/17,678.20
  6. Step 6: Final answer
    x = 6,795.90

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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.