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Finding the Fourth Proportional to 19,705.92, 29,505.96 and 12,295.68

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Solution

The fourth proportional to 19,705.92, 29,505.96 and 12,295.68 is: 18,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.92 : 29,505.96 = 12,295.68 : x
  2. Step 2: Convert to fraction form
    19,705.92/29,505.96 = 12,295.68/x
  3. Step 3: Cross multiply
    19,705.92x = 29,505.96 × 12,295.68
  4. Step 4: Simplify right side
    19,705.92x = 362,795,842.25
  5. Step 5: Solve for x
    x = 362,795,842.25/19,705.92
  6. Step 6: Final answer
    x = 18,410.50

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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.