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Finding the Fourth Proportional to 1,881.36, 2,842.02 and 1,865.16

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Solution

The fourth proportional to 1,881.36, 2,842.02 and 1,865.16 is: 2,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.36 : 2,842.02 = 1,865.16 : x
  2. Step 2: Convert to fraction form
    1,881.36/2,842.02 = 1,865.16/x
  3. Step 3: Cross multiply
    1,881.36x = 2,842.02 × 1,865.16
  4. Step 4: Simplify right side
    1,881.36x = 5,300,822.02
  5. Step 5: Solve for x
    x = 5,300,822.02/1,881.36
  6. Step 6: Final answer
    x = 2,817.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.