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Finding the Fourth Proportional to 2,809.16, 3,877.23 and 1,865.03

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Solution

The fourth proportional to 2,809.16, 3,877.23 and 1,865.03 is: 2,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.16 : 3,877.23 = 1,865.03 : x
  2. Step 2: Convert to fraction form
    2,809.16/3,877.23 = 1,865.03/x
  3. Step 3: Cross multiply
    2,809.16x = 3,877.23 × 1,865.03
  4. Step 4: Simplify right side
    2,809.16x = 7,231,150.27
  5. Step 5: Solve for x
    x = 7,231,150.27/2,809.16
  6. Step 6: Final answer
    x = 2,574.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.