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Finding the Fourth Proportional to 13,508.36, 18,642.60 and 7,844.88

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Solution

The fourth proportional to 13,508.36, 18,642.60 and 7,844.88 is: 10,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.36 : 18,642.60 = 7,844.88 : x
  2. Step 2: Convert to fraction form
    13,508.36/18,642.60 = 7,844.88/x
  3. Step 3: Cross multiply
    13,508.36x = 18,642.60 × 7,844.88
  4. Step 4: Simplify right side
    13,508.36x = 146,248,959.89
  5. Step 5: Solve for x
    x = 146,248,959.89/13,508.36
  6. Step 6: Final answer
    x = 10,826.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.