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Finding the Fourth Proportional to 5,622, 7,761.96 and 5,031.51

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Solution

The fourth proportional to 5,622, 7,761.96 and 5,031.51 is: 6,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622 : 7,761.96 = 5,031.51 : x
  2. Step 2: Convert to fraction form
    5,622/7,761.96 = 5,031.51/x
  3. Step 3: Cross multiply
    5,622x = 7,761.96 × 5,031.51
  4. Step 4: Simplify right side
    5,622x = 39,054,379.36
  5. Step 5: Solve for x
    x = 39,054,379.36/5,622
  6. Step 6: Final answer
    x = 6,946.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.