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Finding the Fourth Proportional to 1,881, 2,804.82 and 1,747.08

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Solution

The fourth proportional to 1,881, 2,804.82 and 1,747.08 is: 2,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881 : 2,804.82 = 1,747.08 : x
  2. Step 2: Convert to fraction form
    1,881/2,804.82 = 1,747.08/x
  3. Step 3: Cross multiply
    1,881x = 2,804.82 × 1,747.08
  4. Step 4: Simplify right side
    1,881x = 4,900,244.93
  5. Step 5: Solve for x
    x = 4,900,244.93/1,881
  6. Step 6: Final answer
    x = 2,605.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.