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Finding the Fourth Proportional to 9,745.40, 14,620.50 and 2,820.60

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Solution

The fourth proportional to 9,745.40, 14,620.50 and 2,820.60 is: 4,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.40 : 14,620.50 = 2,820.60 : x
  2. Step 2: Convert to fraction form
    9,745.40/14,620.50 = 2,820.60/x
  3. Step 3: Cross multiply
    9,745.40x = 14,620.50 × 2,820.60
  4. Step 4: Simplify right side
    9,745.40x = 41,238,582.30
  5. Step 5: Solve for x
    x = 41,238,582.30/9,745.40
  6. Step 6: Final answer
    x = 4,231.59

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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.