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Finding the Fourth Proportional to 9,420, 13,002.84 and 5,694

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Solution

The fourth proportional to 9,420, 13,002.84 and 5,694 is: 7,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420 : 13,002.84 = 5,694 : x
  2. Step 2: Convert to fraction form
    9,420/13,002.84 = 5,694/x
  3. Step 3: Cross multiply
    9,420x = 13,002.84 × 5,694
  4. Step 4: Simplify right side
    9,420x = 74,038,170.96
  5. Step 5: Solve for x
    x = 74,038,170.96/9,420
  6. Step 6: Final answer
    x = 7,859.68

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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.