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Finding the Fourth Proportional to 6,523.80, 9,785.70 and 4,018.20

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Solution

The fourth proportional to 6,523.80, 9,785.70 and 4,018.20 is: 6,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.80 : 9,785.70 = 4,018.20 : x
  2. Step 2: Convert to fraction form
    6,523.80/9,785.70 = 4,018.20/x
  3. Step 3: Cross multiply
    6,523.80x = 9,785.70 × 4,018.20
  4. Step 4: Simplify right side
    6,523.80x = 39,320,899.74
  5. Step 5: Solve for x
    x = 39,320,899.74/6,523.80
  6. Step 6: Final answer
    x = 6,027.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.