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Finding the Fourth Proportional to 3,763.50, 5,188.80 and 3,088.80

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Solution

The fourth proportional to 3,763.50, 5,188.80 and 3,088.80 is: 4,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.50 : 5,188.80 = 3,088.80 : x
  2. Step 2: Convert to fraction form
    3,763.50/5,188.80 = 3,088.80/x
  3. Step 3: Cross multiply
    3,763.50x = 5,188.80 × 3,088.80
  4. Step 4: Simplify right side
    3,763.50x = 16,027,165.44
  5. Step 5: Solve for x
    x = 16,027,165.44/3,763.50
  6. Step 6: Final answer
    x = 4,258.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.