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Finding the Fourth Proportional to 9,843.42, 13,573.62 and 6,481.93

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Solution

The fourth proportional to 9,843.42, 13,573.62 and 6,481.93 is: 8,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.42 : 13,573.62 = 6,481.93 : x
  2. Step 2: Convert to fraction form
    9,843.42/13,573.62 = 6,481.93/x
  3. Step 3: Cross multiply
    9,843.42x = 13,573.62 × 6,481.93
  4. Step 4: Simplify right side
    9,843.42x = 87,983,254.69
  5. Step 5: Solve for x
    x = 87,983,254.69/9,843.42
  6. Step 6: Final answer
    x = 8,938.28

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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.