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Finding the Fourth Proportional to 6,201.77, 8,561.77 and 4,782.38

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Solution

The fourth proportional to 6,201.77, 8,561.77 and 4,782.38 is: 6,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.77 : 8,561.77 = 4,782.38 : x
  2. Step 2: Convert to fraction form
    6,201.77/8,561.77 = 4,782.38/x
  3. Step 3: Cross multiply
    6,201.77x = 8,561.77 × 4,782.38
  4. Step 4: Simplify right side
    6,201.77x = 40,945,582.85
  5. Step 5: Solve for x
    x = 40,945,582.85/6,201.77
  6. Step 6: Final answer
    x = 6,602.25

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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.