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Finding the Fourth Proportional to 6,491.34, 8,961.49 and 5,201.18

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Solution

The fourth proportional to 6,491.34, 8,961.49 and 5,201.18 is: 7,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.34 : 8,961.49 = 5,201.18 : x
  2. Step 2: Convert to fraction form
    6,491.34/8,961.49 = 5,201.18/x
  3. Step 3: Cross multiply
    6,491.34x = 8,961.49 × 5,201.18
  4. Step 4: Simplify right side
    6,491.34x = 46,610,277.75
  5. Step 5: Solve for x
    x = 46,610,277.75/6,491.34
  6. Step 6: Final answer
    x = 7,180.38

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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.