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Finding the Fourth Proportional to 5,809.97, 8,715 and 1,427.47

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Solution

The fourth proportional to 5,809.97, 8,715 and 1,427.47 is: 2,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.97 : 8,715 = 1,427.47 : x
  2. Step 2: Convert to fraction form
    5,809.97/8,715 = 1,427.47/x
  3. Step 3: Cross multiply
    5,809.97x = 8,715 × 1,427.47
  4. Step 4: Simplify right side
    5,809.97x = 12,440,401.05
  5. Step 5: Solve for x
    x = 12,440,401.05/5,809.97
  6. Step 6: Final answer
    x = 2,141.22

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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.