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Finding the Fourth Proportional to 7,650.35, 11,475.65 and 2,385.50

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Solution

The fourth proportional to 7,650.35, 11,475.65 and 2,385.50 is: 3,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.35 : 11,475.65 = 2,385.50 : x
  2. Step 2: Convert to fraction form
    7,650.35/11,475.65 = 2,385.50/x
  3. Step 3: Cross multiply
    7,650.35x = 11,475.65 × 2,385.50
  4. Step 4: Simplify right side
    7,650.35x = 27,375,169.50
  5. Step 5: Solve for x
    x = 27,375,169.50/7,650.35
  6. Step 6: Final answer
    x = 3,578.29

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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.