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Finding the Fourth Proportional to 1,829.15, 2,741.62 and 853.19

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Solution

The fourth proportional to 1,829.15, 2,741.62 and 853.19 is: 1,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.15 : 2,741.62 = 853.19 : x
  2. Step 2: Convert to fraction form
    1,829.15/2,741.62 = 853.19/x
  3. Step 3: Cross multiply
    1,829.15x = 2,741.62 × 853.19
  4. Step 4: Simplify right side
    1,829.15x = 2,339,122.77
  5. Step 5: Solve for x
    x = 2,339,122.77/1,829.15
  6. Step 6: Final answer
    x = 1,278.80

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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.