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Finding the Fourth Proportional to 1,884.70, 2,807.62 and 1,827.33

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Solution

The fourth proportional to 1,884.70, 2,807.62 and 1,827.33 is: 2,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.70 : 2,807.62 = 1,827.33 : x
  2. Step 2: Convert to fraction form
    1,884.70/2,807.62 = 1,827.33/x
  3. Step 3: Cross multiply
    1,884.70x = 2,807.62 × 1,827.33
  4. Step 4: Simplify right side
    1,884.70x = 5,130,448.25
  5. Step 5: Solve for x
    x = 5,130,448.25/1,884.70
  6. Step 6: Final answer
    x = 2,722.16

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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.