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Finding the Fourth Proportional to 6,509.40, 8,982.16 and 3,676.81

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Solution

The fourth proportional to 6,509.40, 8,982.16 and 3,676.81 is: 5,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.40 : 8,982.16 = 3,676.81 : x
  2. Step 2: Convert to fraction form
    6,509.40/8,982.16 = 3,676.81/x
  3. Step 3: Cross multiply
    6,509.40x = 8,982.16 × 3,676.81
  4. Step 4: Simplify right side
    6,509.40x = 33,025,690.82
  5. Step 5: Solve for x
    x = 33,025,690.82/6,509.40
  6. Step 6: Final answer
    x = 5,073.54

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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.