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Finding the Fourth Proportional to 19,893.84, 29,848.59 and 8,204.28

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Solution

The fourth proportional to 19,893.84, 29,848.59 and 8,204.28 is: 12,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.84 : 29,848.59 = 8,204.28 : x
  2. Step 2: Convert to fraction form
    19,893.84/29,848.59 = 8,204.28/x
  3. Step 3: Cross multiply
    19,893.84x = 29,848.59 × 8,204.28
  4. Step 4: Simplify right side
    19,893.84x = 244,886,189.97
  5. Step 5: Solve for x
    x = 244,886,189.97/19,893.84
  6. Step 6: Final answer
    x = 12,309.65

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1.5x scale

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.