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Finding the Fourth Proportional to 3,100.99, 4,651.64 and 1,020.15

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Solution

The fourth proportional to 3,100.99, 4,651.64 and 1,020.15 is: 1,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.99 : 4,651.64 = 1,020.15 : x
  2. Step 2: Convert to fraction form
    3,100.99/4,651.64 = 1,020.15/x
  3. Step 3: Cross multiply
    3,100.99x = 4,651.64 × 1,020.15
  4. Step 4: Simplify right side
    3,100.99x = 4,745,370.55
  5. Step 5: Solve for x
    x = 4,745,370.55/3,100.99
  6. Step 6: Final answer
    x = 1,530.28

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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.