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Finding the Fourth Proportional to 9,831, 13,566.90 and 5,639.64

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Solution

The fourth proportional to 9,831, 13,566.90 and 5,639.64 is: 7,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831 : 13,566.90 = 5,639.64 : x
  2. Step 2: Convert to fraction form
    9,831/13,566.90 = 5,639.64/x
  3. Step 3: Cross multiply
    9,831x = 13,566.90 × 5,639.64
  4. Step 4: Simplify right side
    9,831x = 76,512,431.92
  5. Step 5: Solve for x
    x = 76,512,431.92/9,831
  6. Step 6: Final answer
    x = 7,782.77

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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.