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Finding the Fourth Proportional to 2,815.99, 4,223.99 and 1,085.02

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Solution

The fourth proportional to 2,815.99, 4,223.99 and 1,085.02 is: 1,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.99 : 4,223.99 = 1,085.02 : x
  2. Step 2: Convert to fraction form
    2,815.99/4,223.99 = 1,085.02/x
  3. Step 3: Cross multiply
    2,815.99x = 4,223.99 × 1,085.02
  4. Step 4: Simplify right side
    2,815.99x = 4,583,113.63
  5. Step 5: Solve for x
    x = 4,583,113.63/2,815.99
  6. Step 6: Final answer
    x = 1,627.53

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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.