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Finding the Fourth Proportional to 1,869.75, 2,578.92 and 1,588.03

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Solution

The fourth proportional to 1,869.75, 2,578.92 and 1,588.03 is: 2,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.75 : 2,578.92 = 1,588.03 : x
  2. Step 2: Convert to fraction form
    1,869.75/2,578.92 = 1,588.03/x
  3. Step 3: Cross multiply
    1,869.75x = 2,578.92 × 1,588.03
  4. Step 4: Simplify right side
    1,869.75x = 4,095,402.33
  5. Step 5: Solve for x
    x = 4,095,402.33/1,869.75
  6. Step 6: Final answer
    x = 2,190.35

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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.