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Finding the Fourth Proportional to 9,728, 13,450.24 and 9,292.80

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Solution

The fourth proportional to 9,728, 13,450.24 and 9,292.80 is: 12,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728 : 13,450.24 = 9,292.80 : x
  2. Step 2: Convert to fraction form
    9,728/13,450.24 = 9,292.80/x
  3. Step 3: Cross multiply
    9,728x = 13,450.24 × 9,292.80
  4. Step 4: Simplify right side
    9,728x = 124,990,390.27
  5. Step 5: Solve for x
    x = 124,990,390.27/9,728
  6. Step 6: Final answer
    x = 12,848.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.