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Finding the Fourth Proportional to 1,871.80, 2,580.22 and 1,572.91

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Solution

The fourth proportional to 1,871.80, 2,580.22 and 1,572.91 is: 2,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.80 : 2,580.22 = 1,572.91 : x
  2. Step 2: Convert to fraction form
    1,871.80/2,580.22 = 1,572.91/x
  3. Step 3: Cross multiply
    1,871.80x = 2,580.22 × 1,572.91
  4. Step 4: Simplify right side
    1,871.80x = 4,058,453.84
  5. Step 5: Solve for x
    x = 4,058,453.84/1,871.80
  6. Step 6: Final answer
    x = 2,168.21

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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.