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Finding the Fourth Proportional to 13,598.70, 18,775.32 and 8,502

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Solution

The fourth proportional to 13,598.70, 18,775.32 and 8,502 is: 11,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.70 : 18,775.32 = 8,502 : x
  2. Step 2: Convert to fraction form
    13,598.70/18,775.32 = 8,502/x
  3. Step 3: Cross multiply
    13,598.70x = 18,775.32 × 8,502
  4. Step 4: Simplify right side
    13,598.70x = 159,627,770.64
  5. Step 5: Solve for x
    x = 159,627,770.64/13,598.70
  6. Step 6: Final answer
    x = 11,738.46

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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.