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Finding the Fourth Proportional to 5,345.69, 8,016.46 and 2,139

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Solution

The fourth proportional to 5,345.69, 8,016.46 and 2,139 is: 3,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.69 : 8,016.46 = 2,139 : x
  2. Step 2: Convert to fraction form
    5,345.69/8,016.46 = 2,139/x
  3. Step 3: Cross multiply
    5,345.69x = 8,016.46 × 2,139
  4. Step 4: Simplify right side
    5,345.69x = 17,147,207.94
  5. Step 5: Solve for x
    x = 17,147,207.94/5,345.69
  6. Step 6: Final answer
    x = 3,207.67

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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.