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Finding the Fourth Proportional to 1,550.94, 2,312.49 and 1,523.25

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Solution

The fourth proportional to 1,550.94, 2,312.49 and 1,523.25 is: 2,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.94 : 2,312.49 = 1,523.25 : x
  2. Step 2: Convert to fraction form
    1,550.94/2,312.49 = 1,523.25/x
  3. Step 3: Cross multiply
    1,550.94x = 2,312.49 × 1,523.25
  4. Step 4: Simplify right side
    1,550.94x = 3,522,506.10
  5. Step 5: Solve for x
    x = 3,522,506.10/1,550.94
  6. Step 6: Final answer
    x = 2,271.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.