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Finding the Fourth Proportional to 5,513.07, 8,270.13 and 1,815.31

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Solution

The fourth proportional to 5,513.07, 8,270.13 and 1,815.31 is: 2,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.07 : 8,270.13 = 1,815.31 : x
  2. Step 2: Convert to fraction form
    5,513.07/8,270.13 = 1,815.31/x
  3. Step 3: Cross multiply
    5,513.07x = 8,270.13 × 1,815.31
  4. Step 4: Simplify right side
    5,513.07x = 15,012,849.69
  5. Step 5: Solve for x
    x = 15,012,849.69/5,513.07
  6. Step 6: Final answer
    x = 2,723.14

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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.