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Finding the Fourth Proportional to 1,805.65, 2,488.18 and 1,522.09

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Solution

The fourth proportional to 1,805.65, 2,488.18 and 1,522.09 is: 2,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.65 : 2,488.18 = 1,522.09 : x
  2. Step 2: Convert to fraction form
    1,805.65/2,488.18 = 1,522.09/x
  3. Step 3: Cross multiply
    1,805.65x = 2,488.18 × 1,522.09
  4. Step 4: Simplify right side
    1,805.65x = 3,787,223.87
  5. Step 5: Solve for x
    x = 3,787,223.87/1,805.65
  6. Step 6: Final answer
    x = 2,097.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.