Home / 1,589.04-2,381.60-1,012.08

Finding the Fourth Proportional to 1,589.04, 2,381.60 and 1,012.08

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Solution

The fourth proportional to 1,589.04, 2,381.60 and 1,012.08 is: 1,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.04 : 2,381.60 = 1,012.08 : x
  2. Step 2: Convert to fraction form
    1,589.04/2,381.60 = 1,012.08/x
  3. Step 3: Cross multiply
    1,589.04x = 2,381.60 × 1,012.08
  4. Step 4: Simplify right side
    1,589.04x = 2,410,369.73
  5. Step 5: Solve for x
    x = 2,410,369.73/1,589.04
  6. Step 6: Final answer
    x = 1,516.87

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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.