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Finding the Fourth Proportional to 2,156.76, 3,235.68 and 617.76

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Solution

The fourth proportional to 2,156.76, 3,235.68 and 617.76 is: 926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.76 : 3,235.68 = 617.76 : x
  2. Step 2: Convert to fraction form
    2,156.76/3,235.68 = 617.76/x
  3. Step 3: Cross multiply
    2,156.76x = 3,235.68 × 617.76
  4. Step 4: Simplify right side
    2,156.76x = 1,998,873.68
  5. Step 5: Solve for x
    x = 1,998,873.68/2,156.76
  6. Step 6: Final answer
    x = 926.79

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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.