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Finding the Fourth Proportional to 7,671.50, 11,509.95 and 3,778.64

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Solution

The fourth proportional to 7,671.50, 11,509.95 and 3,778.64 is: 5,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.50 : 11,509.95 = 3,778.64 : x
  2. Step 2: Convert to fraction form
    7,671.50/11,509.95 = 3,778.64/x
  3. Step 3: Cross multiply
    7,671.50x = 11,509.95 × 3,778.64
  4. Step 4: Simplify right side
    7,671.50x = 43,491,957.47
  5. Step 5: Solve for x
    x = 43,491,957.47/7,671.50
  6. Step 6: Final answer
    x = 5,669.29

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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.