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Finding the Fourth Proportional to 1,728.20, 2,589.86 and 946.20

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Solution

The fourth proportional to 1,728.20, 2,589.86 and 946.20 is: 1,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.20 : 2,589.86 = 946.20 : x
  2. Step 2: Convert to fraction form
    1,728.20/2,589.86 = 946.20/x
  3. Step 3: Cross multiply
    1,728.20x = 2,589.86 × 946.20
  4. Step 4: Simplify right side
    1,728.20x = 2,450,525.53
  5. Step 5: Solve for x
    x = 2,450,525.53/1,728.20
  6. Step 6: Final answer
    x = 1,417.96

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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.