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Finding the Fourth Proportional to 1,813.74, 2,705.25 and 1,759.08

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Solution

The fourth proportional to 1,813.74, 2,705.25 and 1,759.08 is: 2,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.74 : 2,705.25 = 1,759.08 : x
  2. Step 2: Convert to fraction form
    1,813.74/2,705.25 = 1,759.08/x
  3. Step 3: Cross multiply
    1,813.74x = 2,705.25 × 1,759.08
  4. Step 4: Simplify right side
    1,813.74x = 4,758,751.17
  5. Step 5: Solve for x
    x = 4,758,751.17/1,813.74
  6. Step 6: Final answer
    x = 2,623.72

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1.5x scale

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.