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Finding the Fourth Proportional to 2,003.55, 2,765.21 and 1,164.79

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Solution

The fourth proportional to 2,003.55, 2,765.21 and 1,164.79 is: 1,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.55 : 2,765.21 = 1,164.79 : x
  2. Step 2: Convert to fraction form
    2,003.55/2,765.21 = 1,164.79/x
  3. Step 3: Cross multiply
    2,003.55x = 2,765.21 × 1,164.79
  4. Step 4: Simplify right side
    2,003.55x = 3,220,888.96
  5. Step 5: Solve for x
    x = 3,220,888.96/2,003.55
  6. Step 6: Final answer
    x = 1,607.59

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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.