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Finding the Fourth Proportional to 38,298, 52,848 and 21,529.92

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Solution

The fourth proportional to 38,298, 52,848 and 21,529.92 is: 29,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298 : 52,848 = 21,529.92 : x
  2. Step 2: Convert to fraction form
    38,298/52,848 = 21,529.92/x
  3. Step 3: Cross multiply
    38,298x = 52,848 × 21,529.92
  4. Step 4: Simplify right side
    38,298x = 1,137,813,212.16
  5. Step 5: Solve for x
    x = 1,137,813,212.16/38,298
  6. Step 6: Final answer
    x = 29,709.47

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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.