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Finding the Fourth Proportional to 13,415.87, 18,505.48 and 8,642

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Solution

The fourth proportional to 13,415.87, 18,505.48 and 8,642 is: 11,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.87 : 18,505.48 = 8,642 : x
  2. Step 2: Convert to fraction form
    13,415.87/18,505.48 = 8,642/x
  3. Step 3: Cross multiply
    13,415.87x = 18,505.48 × 8,642
  4. Step 4: Simplify right side
    13,415.87x = 159,924,358.16
  5. Step 5: Solve for x
    x = 159,924,358.16/13,415.87
  6. Step 6: Final answer
    x = 11,920.54

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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.