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Finding the Fourth Proportional to 2,108.70, 3,163.36 and 647.98

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Solution

The fourth proportional to 2,108.70, 3,163.36 and 647.98 is: 972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.70 : 3,163.36 = 647.98 : x
  2. Step 2: Convert to fraction form
    2,108.70/3,163.36 = 647.98/x
  3. Step 3: Cross multiply
    2,108.70x = 3,163.36 × 647.98
  4. Step 4: Simplify right side
    2,108.70x = 2,049,792.39
  5. Step 5: Solve for x
    x = 2,049,792.39/2,108.70
  6. Step 6: Final answer
    x = 972.06

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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.