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Finding the Fourth Proportional to 9,349.68, 12,897.96 and 8,682.80

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Solution

The fourth proportional to 9,349.68, 12,897.96 and 8,682.80 is: 11,977.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.68 : 12,897.96 = 8,682.80 : x
  2. Step 2: Convert to fraction form
    9,349.68/12,897.96 = 8,682.80/x
  3. Step 3: Cross multiply
    9,349.68x = 12,897.96 × 8,682.80
  4. Step 4: Simplify right side
    9,349.68x = 111,990,407.09
  5. Step 5: Solve for x
    x = 111,990,407.09/9,349.68
  6. Step 6: Final answer
    x = 11,977.99

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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.