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Finding the Fourth Proportional to 5,113.50, 7,665.48 and 1,995.50

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Solution

The fourth proportional to 5,113.50, 7,665.48 and 1,995.50 is: 2,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.50 : 7,665.48 = 1,995.50 : x
  2. Step 2: Convert to fraction form
    5,113.50/7,665.48 = 1,995.50/x
  3. Step 3: Cross multiply
    5,113.50x = 7,665.48 × 1,995.50
  4. Step 4: Simplify right side
    5,113.50x = 15,296,465.34
  5. Step 5: Solve for x
    x = 15,296,465.34/5,113.50
  6. Step 6: Final answer
    x = 2,991.39

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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.