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Finding the Fourth Proportional to 9,897.36, 13,664.72 and 8,833.28

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Solution

The fourth proportional to 9,897.36, 13,664.72 and 8,833.28 is: 12,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.36 : 13,664.72 = 8,833.28 : x
  2. Step 2: Convert to fraction form
    9,897.36/13,664.72 = 8,833.28/x
  3. Step 3: Cross multiply
    9,897.36x = 13,664.72 × 8,833.28
  4. Step 4: Simplify right side
    9,897.36x = 120,704,297.88
  5. Step 5: Solve for x
    x = 120,704,297.88/9,897.36
  6. Step 6: Final answer
    x = 12,195.61

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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.