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Finding the Fourth Proportional to 1,765.52, 2,442.22 and 1,645.84

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Solution

The fourth proportional to 1,765.52, 2,442.22 and 1,645.84 is: 2,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.52 : 2,442.22 = 1,645.84 : x
  2. Step 2: Convert to fraction form
    1,765.52/2,442.22 = 1,645.84/x
  3. Step 3: Cross multiply
    1,765.52x = 2,442.22 × 1,645.84
  4. Step 4: Simplify right side
    1,765.52x = 4,019,502.30
  5. Step 5: Solve for x
    x = 4,019,502.30/1,765.52
  6. Step 6: Final answer
    x = 2,276.67

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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.