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Finding the Fourth Proportional to 9,816, 14,729.76 and 3,893.44

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Solution

The fourth proportional to 9,816, 14,729.76 and 3,893.44 is: 5,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816 : 14,729.76 = 3,893.44 : x
  2. Step 2: Convert to fraction form
    9,816/14,729.76 = 3,893.44/x
  3. Step 3: Cross multiply
    9,816x = 14,729.76 × 3,893.44
  4. Step 4: Simplify right side
    9,816x = 57,349,436.77
  5. Step 5: Solve for x
    x = 57,349,436.77/9,816
  6. Step 6: Final answer
    x = 5,842.44

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1.5x scale

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.