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Finding the Fourth Proportional to 9,611.52, 13,260 and 6,783

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Solution

The fourth proportional to 9,611.52, 13,260 and 6,783 is: 9,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.52 : 13,260 = 6,783 : x
  2. Step 2: Convert to fraction form
    9,611.52/13,260 = 6,783/x
  3. Step 3: Cross multiply
    9,611.52x = 13,260 × 6,783
  4. Step 4: Simplify right side
    9,611.52x = 89,942,580
  5. Step 5: Solve for x
    x = 89,942,580/9,611.52
  6. Step 6: Final answer
    x = 9,357.79

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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.