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Finding the Fourth Proportional to 6,561, 9,816.90 and 4,084.22

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Solution

The fourth proportional to 6,561, 9,816.90 and 4,084.22 is: 6,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 9,816.90 = 4,084.22 : x
  2. Step 2: Convert to fraction form
    6,561/9,816.90 = 4,084.22/x
  3. Step 3: Cross multiply
    6,561x = 9,816.90 × 4,084.22
  4. Step 4: Simplify right side
    6,561x = 40,094,388.54
  5. Step 5: Solve for x
    x = 40,094,388.54/6,561
  6. Step 6: Final answer
    x = 6,111.02

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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.