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Finding the Fourth Proportional to 19,600, 27,048 and 10,647.52

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Solution

The fourth proportional to 19,600, 27,048 and 10,647.52 is: 14,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600 : 27,048 = 10,647.52 : x
  2. Step 2: Convert to fraction form
    19,600/27,048 = 10,647.52/x
  3. Step 3: Cross multiply
    19,600x = 27,048 × 10,647.52
  4. Step 4: Simplify right side
    19,600x = 287,994,120.96
  5. Step 5: Solve for x
    x = 287,994,120.96/19,600
  6. Step 6: Final answer
    x = 14,693.58

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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.