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Finding the Fourth Proportional to 1,827.05, 2,741.51 and 853.14

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Solution

The fourth proportional to 1,827.05, 2,741.51 and 853.14 is: 1,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.05 : 2,741.51 = 853.14 : x
  2. Step 2: Convert to fraction form
    1,827.05/2,741.51 = 853.14/x
  3. Step 3: Cross multiply
    1,827.05x = 2,741.51 × 853.14
  4. Step 4: Simplify right side
    1,827.05x = 2,338,904.25
  5. Step 5: Solve for x
    x = 2,338,904.25/1,827.05
  6. Step 6: Final answer
    x = 1,280.16

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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.