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Finding the Fourth Proportional to 2,185.54, 3,278.92 and 953.06

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Solution

The fourth proportional to 2,185.54, 3,278.92 and 953.06 is: 1,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.54 : 3,278.92 = 953.06 : x
  2. Step 2: Convert to fraction form
    2,185.54/3,278.92 = 953.06/x
  3. Step 3: Cross multiply
    2,185.54x = 3,278.92 × 953.06
  4. Step 4: Simplify right side
    2,185.54x = 3,124,996.92
  5. Step 5: Solve for x
    x = 3,124,996.92/2,185.54
  6. Step 6: Final answer
    x = 1,429.85

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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.