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Finding the Fourth Proportional to 17,089.70, 25,643.00 and 7,728.74

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Solution

The fourth proportional to 17,089.70, 25,643.00 and 7,728.74 is: 11,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.70 : 25,643.00 = 7,728.74 : x
  2. Step 2: Convert to fraction form
    17,089.70/25,643.00 = 7,728.74/x
  3. Step 3: Cross multiply
    17,089.70x = 25,643.00 × 7,728.74
  4. Step 4: Simplify right side
    17,089.70x = 198,188,055.36
  5. Step 5: Solve for x
    x = 198,188,055.36/17,089.70
  6. Step 6: Final answer
    x = 11,596.93

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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.