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Finding the Fourth Proportional to 13,578, 18,736.44 and 7,607.76

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Solution

The fourth proportional to 13,578, 18,736.44 and 7,607.76 is: 10,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578 : 18,736.44 = 7,607.76 : x
  2. Step 2: Convert to fraction form
    13,578/18,736.44 = 7,607.76/x
  3. Step 3: Cross multiply
    13,578x = 18,736.44 × 7,607.76
  4. Step 4: Simplify right side
    13,578x = 142,542,338.77
  5. Step 5: Solve for x
    x = 142,542,338.77/13,578
  6. Step 6: Final answer
    x = 10,498.04

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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.