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Finding the Fourth Proportional to 13,578.35, 18,738.38 and 7,610.63

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Solution

The fourth proportional to 13,578.35, 18,738.38 and 7,610.63 is: 10,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.35 : 18,738.38 = 7,610.63 : x
  2. Step 2: Convert to fraction form
    13,578.35/18,738.38 = 7,610.63/x
  3. Step 3: Cross multiply
    13,578.35x = 18,738.38 × 7,610.63
  4. Step 4: Simplify right side
    13,578.35x = 142,610,802.31
  5. Step 5: Solve for x
    x = 142,610,802.31/13,578.35
  6. Step 6: Final answer
    x = 10,502.81

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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.