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Finding the Fourth Proportional to 13,401.64, 18,486.66 and 8,425

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Solution

The fourth proportional to 13,401.64, 18,486.66 and 8,425 is: 11,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.64 : 18,486.66 = 8,425 : x
  2. Step 2: Convert to fraction form
    13,401.64/18,486.66 = 8,425/x
  3. Step 3: Cross multiply
    13,401.64x = 18,486.66 × 8,425
  4. Step 4: Simplify right side
    13,401.64x = 155,750,110.50
  5. Step 5: Solve for x
    x = 155,750,110.50/13,401.64
  6. Step 6: Final answer
    x = 11,621.72

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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.