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Finding the Fourth Proportional to 4,965.85, 7,448.78 and 2,005.57

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Solution

The fourth proportional to 4,965.85, 7,448.78 and 2,005.57 is: 3,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.85 : 7,448.78 = 2,005.57 : x
  2. Step 2: Convert to fraction form
    4,965.85/7,448.78 = 2,005.57/x
  3. Step 3: Cross multiply
    4,965.85x = 7,448.78 × 2,005.57
  4. Step 4: Simplify right side
    4,965.85x = 14,939,049.70
  5. Step 5: Solve for x
    x = 14,939,049.70/4,965.85
  6. Step 6: Final answer
    x = 3,008.36

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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.