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Finding the Fourth Proportional to 1,821.96, 2,731.77 and 589.14

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Solution

The fourth proportional to 1,821.96, 2,731.77 and 589.14 is: 883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.96 : 2,731.77 = 589.14 : x
  2. Step 2: Convert to fraction form
    1,821.96/2,731.77 = 589.14/x
  3. Step 3: Cross multiply
    1,821.96x = 2,731.77 × 589.14
  4. Step 4: Simplify right side
    1,821.96x = 1,609,394.98
  5. Step 5: Solve for x
    x = 1,609,394.98/1,821.96
  6. Step 6: Final answer
    x = 883.33

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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.