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Finding the Fourth Proportional to 2,325.21, 3,488.42 and 765.45

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Solution

The fourth proportional to 2,325.21, 3,488.42 and 765.45 is: 1,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.21 : 3,488.42 = 765.45 : x
  2. Step 2: Convert to fraction form
    2,325.21/3,488.42 = 765.45/x
  3. Step 3: Cross multiply
    2,325.21x = 3,488.42 × 765.45
  4. Step 4: Simplify right side
    2,325.21x = 2,670,208.70
  5. Step 5: Solve for x
    x = 2,670,208.70/2,325.21
  6. Step 6: Final answer
    x = 1,148.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.