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Finding the Fourth Proportional to 13,776, 20,698.24 and 8,848

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Solution

The fourth proportional to 13,776, 20,698.24 and 8,848 is: 13,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776 : 20,698.24 = 8,848 : x
  2. Step 2: Convert to fraction form
    13,776/20,698.24 = 8,848/x
  3. Step 3: Cross multiply
    13,776x = 20,698.24 × 8,848
  4. Step 4: Simplify right side
    13,776x = 183,138,027.52
  5. Step 5: Solve for x
    x = 183,138,027.52/13,776
  6. Step 6: Final answer
    x = 13,293.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.