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Finding the Fourth Proportional to 2,156.58, 3,234.77 and 617.58

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Solution

The fourth proportional to 2,156.58, 3,234.77 and 617.58 is: 926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.58 : 3,234.77 = 617.58 : x
  2. Step 2: Convert to fraction form
    2,156.58/3,234.77 = 617.58/x
  3. Step 3: Cross multiply
    2,156.58x = 3,234.77 × 617.58
  4. Step 4: Simplify right side
    2,156.58x = 1,997,729.26
  5. Step 5: Solve for x
    x = 1,997,729.26/2,156.58
  6. Step 6: Final answer
    x = 926.34

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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.