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Finding the Fourth Proportional to 4,279.56, 5,905.74 and 2,416.56

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Solution

The fourth proportional to 4,279.56, 5,905.74 and 2,416.56 is: 3,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.56 : 5,905.74 = 2,416.56 : x
  2. Step 2: Convert to fraction form
    4,279.56/5,905.74 = 2,416.56/x
  3. Step 3: Cross multiply
    4,279.56x = 5,905.74 × 2,416.56
  4. Step 4: Simplify right side
    4,279.56x = 14,271,575.05
  5. Step 5: Solve for x
    x = 14,271,575.05/4,279.56
  6. Step 6: Final answer
    x = 3,334.82

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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.