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Finding the Fourth Proportional to 3,490.08, 5,235.12 and 857.58

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Solution

The fourth proportional to 3,490.08, 5,235.12 and 857.58 is: 1,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.08 : 5,235.12 = 857.58 : x
  2. Step 2: Convert to fraction form
    3,490.08/5,235.12 = 857.58/x
  3. Step 3: Cross multiply
    3,490.08x = 5,235.12 × 857.58
  4. Step 4: Simplify right side
    3,490.08x = 4,489,534.21
  5. Step 5: Solve for x
    x = 4,489,534.21/3,490.08
  6. Step 6: Final answer
    x = 1,286.37

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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.