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Finding the Fourth Proportional to 2,108.78, 3,163.04 and 647.81

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Solution

The fourth proportional to 2,108.78, 3,163.04 and 647.81 is: 971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.78 : 3,163.04 = 647.81 : x
  2. Step 2: Convert to fraction form
    2,108.78/3,163.04 = 647.81/x
  3. Step 3: Cross multiply
    2,108.78x = 3,163.04 × 647.81
  4. Step 4: Simplify right side
    2,108.78x = 2,049,045.70
  5. Step 5: Solve for x
    x = 2,049,045.70/2,108.78
  6. Step 6: Final answer
    x = 971.67

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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.