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Finding the Fourth Proportional to 9,259.98, 12,771.54 and 8,198.88

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Solution

The fourth proportional to 9,259.98, 12,771.54 and 8,198.88 is: 11,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.98 : 12,771.54 = 8,198.88 : x
  2. Step 2: Convert to fraction form
    9,259.98/12,771.54 = 8,198.88/x
  3. Step 3: Cross multiply
    9,259.98x = 12,771.54 × 8,198.88
  4. Step 4: Simplify right side
    9,259.98x = 104,712,323.88
  5. Step 5: Solve for x
    x = 104,712,323.88/9,259.98
  6. Step 6: Final answer
    x = 11,308.05

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1.5x scale

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.