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Finding the Fourth Proportional to 4,157.79, 5,738.49 and 2,479.31

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Solution

The fourth proportional to 4,157.79, 5,738.49 and 2,479.31 is: 3,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.79 : 5,738.49 = 2,479.31 : x
  2. Step 2: Convert to fraction form
    4,157.79/5,738.49 = 2,479.31/x
  3. Step 3: Cross multiply
    4,157.79x = 5,738.49 × 2,479.31
  4. Step 4: Simplify right side
    4,157.79x = 14,227,495.64
  5. Step 5: Solve for x
    x = 14,227,495.64/4,157.79
  6. Step 6: Final answer
    x = 3,421.89

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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.