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Finding the Fourth Proportional to 2,156.77, 3,226.95 and 1,333

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Solution

The fourth proportional to 2,156.77, 3,226.95 and 1,333 is: 1,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.77 : 3,226.95 = 1,333 : x
  2. Step 2: Convert to fraction form
    2,156.77/3,226.95 = 1,333/x
  3. Step 3: Cross multiply
    2,156.77x = 3,226.95 × 1,333
  4. Step 4: Simplify right side
    2,156.77x = 4,301,524.35
  5. Step 5: Solve for x
    x = 4,301,524.35/2,156.77
  6. Step 6: Final answer
    x = 1,994.43

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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.