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Finding the Fourth Proportional to 9,801.44, 14,641.60 and 7,857.44

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Solution

The fourth proportional to 9,801.44, 14,641.60 and 7,857.44 is: 11,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.44 : 14,641.60 = 7,857.44 : x
  2. Step 2: Convert to fraction form
    9,801.44/14,641.60 = 7,857.44/x
  3. Step 3: Cross multiply
    9,801.44x = 14,641.60 × 7,857.44
  4. Step 4: Simplify right side
    9,801.44x = 115,045,493.50
  5. Step 5: Solve for x
    x = 115,045,493.50/9,801.44
  6. Step 6: Final answer
    x = 11,737.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.