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Finding the Fourth Proportional to 1,693.44, 2,546.64 and 1,479.60

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Solution

The fourth proportional to 1,693.44, 2,546.64 and 1,479.60 is: 2,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.44 : 2,546.64 = 1,479.60 : x
  2. Step 2: Convert to fraction form
    1,693.44/2,546.64 = 1,479.60/x
  3. Step 3: Cross multiply
    1,693.44x = 2,546.64 × 1,479.60
  4. Step 4: Simplify right side
    1,693.44x = 3,768,008.54
  5. Step 5: Solve for x
    x = 3,768,008.54/1,693.44
  6. Step 6: Final answer
    x = 2,225.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.