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Finding the Fourth Proportional to 2,370.05, 3,554.97 and 810.19

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Solution

The fourth proportional to 2,370.05, 3,554.97 and 810.19 is: 1,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.05 : 3,554.97 = 810.19 : x
  2. Step 2: Convert to fraction form
    2,370.05/3,554.97 = 810.19/x
  3. Step 3: Cross multiply
    2,370.05x = 3,554.97 × 810.19
  4. Step 4: Simplify right side
    2,370.05x = 2,880,201.14
  5. Step 5: Solve for x
    x = 2,880,201.14/2,370.05
  6. Step 6: Final answer
    x = 1,215.25

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1.5x scale

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.