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Finding the Fourth Proportional to 4,929.60, 7,421 and 4,493.64

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Solution

The fourth proportional to 4,929.60, 7,421 and 4,493.64 is: 6,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.60 : 7,421 = 4,493.64 : x
  2. Step 2: Convert to fraction form
    4,929.60/7,421 = 4,493.64/x
  3. Step 3: Cross multiply
    4,929.60x = 7,421 × 4,493.64
  4. Step 4: Simplify right side
    4,929.60x = 33,347,302.44
  5. Step 5: Solve for x
    x = 33,347,302.44/4,929.60
  6. Step 6: Final answer
    x = 6,764.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.