Home / 1,583.15-2,378.36-1,122.05

Finding the Fourth Proportional to 1,583.15, 2,378.36 and 1,122.05

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Solution

The fourth proportional to 1,583.15, 2,378.36 and 1,122.05 is: 1,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.15 : 2,378.36 = 1,122.05 : x
  2. Step 2: Convert to fraction form
    1,583.15/2,378.36 = 1,122.05/x
  3. Step 3: Cross multiply
    1,583.15x = 2,378.36 × 1,122.05
  4. Step 4: Simplify right side
    1,583.15x = 2,668,647.59
  5. Step 5: Solve for x
    x = 2,668,647.59/1,583.15
  6. Step 6: Final answer
    x = 1,685.66

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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.