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Finding the Fourth Proportional to 6,578.82, 9,866.76 and 1,897.78

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Solution

The fourth proportional to 6,578.82, 9,866.76 and 1,897.78 is: 2,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.82 : 9,866.76 = 1,897.78 : x
  2. Step 2: Convert to fraction form
    6,578.82/9,866.76 = 1,897.78/x
  3. Step 3: Cross multiply
    6,578.82x = 9,866.76 × 1,897.78
  4. Step 4: Simplify right side
    6,578.82x = 18,724,939.79
  5. Step 5: Solve for x
    x = 18,724,939.79/6,578.82
  6. Step 6: Final answer
    x = 2,846.25

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Similar ratio
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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.