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Finding the Fourth Proportional to 1,755, 2,420.82 and 1,165.32

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Solution

The fourth proportional to 1,755, 2,420.82 and 1,165.32 is: 1,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755 : 2,420.82 = 1,165.32 : x
  2. Step 2: Convert to fraction form
    1,755/2,420.82 = 1,165.32/x
  3. Step 3: Cross multiply
    1,755x = 2,420.82 × 1,165.32
  4. Step 4: Simplify right side
    1,755x = 2,821,029.96
  5. Step 5: Solve for x
    x = 2,821,029.96/1,755
  6. Step 6: Final answer
    x = 1,607.42

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1.5x scale

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.