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Finding the Fourth Proportional to 3,215.08, 4,822.74 and 906.64

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Solution

The fourth proportional to 3,215.08, 4,822.74 and 906.64 is: 1,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.08 : 4,822.74 = 906.64 : x
  2. Step 2: Convert to fraction form
    3,215.08/4,822.74 = 906.64/x
  3. Step 3: Cross multiply
    3,215.08x = 4,822.74 × 906.64
  4. Step 4: Simplify right side
    3,215.08x = 4,372,488.99
  5. Step 5: Solve for x
    x = 4,372,488.99/3,215.08
  6. Step 6: Final answer
    x = 1,359.99

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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.