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Finding the Fourth Proportional to 13,546.74, 18,652.95 and 11,858.70

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Solution

The fourth proportional to 13,546.74, 18,652.95 and 11,858.70 is: 16,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.74 : 18,652.95 = 11,858.70 : x
  2. Step 2: Convert to fraction form
    13,546.74/18,652.95 = 11,858.70/x
  3. Step 3: Cross multiply
    13,546.74x = 18,652.95 × 11,858.70
  4. Step 4: Simplify right side
    13,546.74x = 221,199,738.17
  5. Step 5: Solve for x
    x = 221,199,738.17/13,546.74
  6. Step 6: Final answer
    x = 16,328.63

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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.