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Finding the Fourth Proportional to 13,748, 18,977.16 and 8,159

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Solution

The fourth proportional to 13,748, 18,977.16 and 8,159 is: 11,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748 : 18,977.16 = 8,159 : x
  2. Step 2: Convert to fraction form
    13,748/18,977.16 = 8,159/x
  3. Step 3: Cross multiply
    13,748x = 18,977.16 × 8,159
  4. Step 4: Simplify right side
    13,748x = 154,834,648.44
  5. Step 5: Solve for x
    x = 154,834,648.44/13,748
  6. Step 6: Final answer
    x = 11,262.34

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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.