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Finding the Fourth Proportional to 6,082.77, 8,393.73 and 3,564.57

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Solution

The fourth proportional to 6,082.77, 8,393.73 and 3,564.57 is: 4,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.77 : 8,393.73 = 3,564.57 : x
  2. Step 2: Convert to fraction form
    6,082.77/8,393.73 = 3,564.57/x
  3. Step 3: Cross multiply
    6,082.77x = 8,393.73 × 3,564.57
  4. Step 4: Simplify right side
    6,082.77x = 29,920,038.15
  5. Step 5: Solve for x
    x = 29,920,038.15/6,082.77
  6. Step 6: Final answer
    x = 4,918.82

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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.