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Finding the Fourth Proportional to 9,840.21, 13,579.08 and 5,363.87

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Solution

The fourth proportional to 9,840.21, 13,579.08 and 5,363.87 is: 7,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.21 : 13,579.08 = 5,363.87 : x
  2. Step 2: Convert to fraction form
    9,840.21/13,579.08 = 5,363.87/x
  3. Step 3: Cross multiply
    9,840.21x = 13,579.08 × 5,363.87
  4. Step 4: Simplify right side
    9,840.21x = 72,836,351.94
  5. Step 5: Solve for x
    x = 72,836,351.94/9,840.21
  6. Step 6: Final answer
    x = 7,401.91

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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.