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Finding the Fourth Proportional to 4,309.58, 5,946.72 and 2,420.90

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Solution

The fourth proportional to 4,309.58, 5,946.72 and 2,420.90 is: 3,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.58 : 5,946.72 = 2,420.90 : x
  2. Step 2: Convert to fraction form
    4,309.58/5,946.72 = 2,420.90/x
  3. Step 3: Cross multiply
    4,309.58x = 5,946.72 × 2,420.90
  4. Step 4: Simplify right side
    4,309.58x = 14,396,414.45
  5. Step 5: Solve for x
    x = 14,396,414.45/4,309.58
  6. Step 6: Final answer
    x = 3,340.56

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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.