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Finding the Fourth Proportional to 9,765.78, 14,648.64 and 2,745.78

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Solution

The fourth proportional to 9,765.78, 14,648.64 and 2,745.78 is: 4,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.78 : 14,648.64 = 2,745.78 : x
  2. Step 2: Convert to fraction form
    9,765.78/14,648.64 = 2,745.78/x
  3. Step 3: Cross multiply
    9,765.78x = 14,648.64 × 2,745.78
  4. Step 4: Simplify right side
    9,765.78x = 40,221,942.74
  5. Step 5: Solve for x
    x = 40,221,942.74/9,765.78
  6. Step 6: Final answer
    x = 4,118.66

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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.