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Finding the Fourth Proportional to 4,441, 6,662.30 and 1,518.60

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Solution

The fourth proportional to 4,441, 6,662.30 and 1,518.60 is: 2,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441 : 6,662.30 = 1,518.60 : x
  2. Step 2: Convert to fraction form
    4,441/6,662.30 = 1,518.60/x
  3. Step 3: Cross multiply
    4,441x = 6,662.30 × 1,518.60
  4. Step 4: Simplify right side
    4,441x = 10,117,368.78
  5. Step 5: Solve for x
    x = 10,117,368.78/4,441
  6. Step 6: Final answer
    x = 2,278.17

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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.