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Finding the Fourth Proportional to 7,647.80, 11,461.97 and 4,181.00

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Solution

The fourth proportional to 7,647.80, 11,461.97 and 4,181.00 is: 6,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.80 : 11,461.97 = 4,181.00 : x
  2. Step 2: Convert to fraction form
    7,647.80/11,461.97 = 4,181.00/x
  3. Step 3: Cross multiply
    7,647.80x = 11,461.97 × 4,181.00
  4. Step 4: Simplify right side
    7,647.80x = 47,922,449.71
  5. Step 5: Solve for x
    x = 47,922,449.71/7,647.80
  6. Step 6: Final answer
    x = 6,266.18

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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.