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Finding the Fourth Proportional to 19,804.80, 29,705.75 and 7,319.00

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Solution

The fourth proportional to 19,804.80, 29,705.75 and 7,319.00 is: 10,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.80 : 29,705.75 = 7,319.00 : x
  2. Step 2: Convert to fraction form
    19,804.80/29,705.75 = 7,319.00/x
  3. Step 3: Cross multiply
    19,804.80x = 29,705.75 × 7,319.00
  4. Step 4: Simplify right side
    19,804.80x = 217,416,449.37
  5. Step 5: Solve for x
    x = 217,416,449.37/19,804.80
  6. Step 6: Final answer
    x = 10,977.97

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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.