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Finding the Fourth Proportional to 2,958.40, 4,441.20 and 1,643.20

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Solution

The fourth proportional to 2,958.40, 4,441.20 and 1,643.20 is: 2,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.40 : 4,441.20 = 1,643.20 : x
  2. Step 2: Convert to fraction form
    2,958.40/4,441.20 = 1,643.20/x
  3. Step 3: Cross multiply
    2,958.40x = 4,441.20 × 1,643.20
  4. Step 4: Simplify right side
    2,958.40x = 7,297,779.84
  5. Step 5: Solve for x
    x = 7,297,779.84/2,958.40
  6. Step 6: Final answer
    x = 2,466.80

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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.