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Finding the Fourth Proportional to 1,857.51, 2,783.67 and 869.27

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Solution

The fourth proportional to 1,857.51, 2,783.67 and 869.27 is: 1,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.51 : 2,783.67 = 869.27 : x
  2. Step 2: Convert to fraction form
    1,857.51/2,783.67 = 869.27/x
  3. Step 3: Cross multiply
    1,857.51x = 2,783.67 × 869.27
  4. Step 4: Simplify right side
    1,857.51x = 2,419,743.64
  5. Step 5: Solve for x
    x = 2,419,743.64/1,857.51
  6. Step 6: Final answer
    x = 1,302.68

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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.