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Finding the Fourth Proportional to 2,084.81, 3,126.19 and 851.89

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Solution

The fourth proportional to 2,084.81, 3,126.19 and 851.89 is: 1,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.81 : 3,126.19 = 851.89 : x
  2. Step 2: Convert to fraction form
    2,084.81/3,126.19 = 851.89/x
  3. Step 3: Cross multiply
    2,084.81x = 3,126.19 × 851.89
  4. Step 4: Simplify right side
    2,084.81x = 2,663,167.51
  5. Step 5: Solve for x
    x = 2,663,167.51/2,084.81
  6. Step 6: Final answer
    x = 1,277.41

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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.