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Finding the Fourth Proportional to 19,674.30, 29,518.74 and 9,149.97

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Solution

The fourth proportional to 19,674.30, 29,518.74 and 9,149.97 is: 13,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.30 : 29,518.74 = 9,149.97 : x
  2. Step 2: Convert to fraction form
    19,674.30/29,518.74 = 9,149.97/x
  3. Step 3: Cross multiply
    19,674.30x = 29,518.74 × 9,149.97
  4. Step 4: Simplify right side
    19,674.30x = 270,095,585.44
  5. Step 5: Solve for x
    x = 270,095,585.44/19,674.30
  6. Step 6: Final answer
    x = 13,728.35

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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.