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Finding the Fourth Proportional to 3,416.76, 4,720.20 and 3,390.84

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Solution

The fourth proportional to 3,416.76, 4,720.20 and 3,390.84 is: 4,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.76 : 4,720.20 = 3,390.84 : x
  2. Step 2: Convert to fraction form
    3,416.76/4,720.20 = 3,390.84/x
  3. Step 3: Cross multiply
    3,416.76x = 4,720.20 × 3,390.84
  4. Step 4: Simplify right side
    3,416.76x = 16,005,442.97
  5. Step 5: Solve for x
    x = 16,005,442.97/3,416.76
  6. Step 6: Final answer
    x = 4,684.39

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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.