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Finding the Fourth Proportional to 6,857.88, 9,456.80 and 5,866.44

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Solution

The fourth proportional to 6,857.88, 9,456.80 and 5,866.44 is: 8,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.88 : 9,456.80 = 5,866.44 : x
  2. Step 2: Convert to fraction form
    6,857.88/9,456.80 = 5,866.44/x
  3. Step 3: Cross multiply
    6,857.88x = 9,456.80 × 5,866.44
  4. Step 4: Simplify right side
    6,857.88x = 55,477,749.79
  5. Step 5: Solve for x
    x = 55,477,749.79/6,857.88
  6. Step 6: Final answer
    x = 8,089.64

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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.