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Finding the Fourth Proportional to 1,573.80, 2,171.94 and 910.80

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Solution

The fourth proportional to 1,573.80, 2,171.94 and 910.80 is: 1,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.80 : 2,171.94 = 910.80 : x
  2. Step 2: Convert to fraction form
    1,573.80/2,171.94 = 910.80/x
  3. Step 3: Cross multiply
    1,573.80x = 2,171.94 × 910.80
  4. Step 4: Simplify right side
    1,573.80x = 1,978,202.95
  5. Step 5: Solve for x
    x = 1,978,202.95/1,573.80
  6. Step 6: Final answer
    x = 1,256.96

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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.