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Finding the Fourth Proportional to 2,081.07, 3,120.99 and 782.23

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Solution

The fourth proportional to 2,081.07, 3,120.99 and 782.23 is: 1,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.07 : 3,120.99 = 782.23 : x
  2. Step 2: Convert to fraction form
    2,081.07/3,120.99 = 782.23/x
  3. Step 3: Cross multiply
    2,081.07x = 3,120.99 × 782.23
  4. Step 4: Simplify right side
    2,081.07x = 2,441,332.01
  5. Step 5: Solve for x
    x = 2,441,332.01/2,081.07
  6. Step 6: Final answer
    x = 1,173.11

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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.