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Finding the Fourth Proportional to 6,485, 9,726.97 and 1,740.78

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Solution

The fourth proportional to 6,485, 9,726.97 and 1,740.78 is: 2,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485 : 9,726.97 = 1,740.78 : x
  2. Step 2: Convert to fraction form
    6,485/9,726.97 = 1,740.78/x
  3. Step 3: Cross multiply
    6,485x = 9,726.97 × 1,740.78
  4. Step 4: Simplify right side
    6,485x = 16,932,514.84
  5. Step 5: Solve for x
    x = 16,932,514.84/6,485
  6. Step 6: Final answer
    x = 2,611.03

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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.