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Finding the Fourth Proportional to 1,755.57, 2,422.60 and 1,009

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Solution

The fourth proportional to 1,755.57, 2,422.60 and 1,009 is: 1,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.57 : 2,422.60 = 1,009 : x
  2. Step 2: Convert to fraction form
    1,755.57/2,422.60 = 1,009/x
  3. Step 3: Cross multiply
    1,755.57x = 2,422.60 × 1,009
  4. Step 4: Simplify right side
    1,755.57x = 2,444,403.40
  5. Step 5: Solve for x
    x = 2,444,403.40/1,755.57
  6. Step 6: Final answer
    x = 1,392.37

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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.