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Finding the Fourth Proportional to 2,664.40, 3,998.40 and 1,567.60

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Solution

The fourth proportional to 2,664.40, 3,998.40 and 1,567.60 is: 2,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.40 : 3,998.40 = 1,567.60 : x
  2. Step 2: Convert to fraction form
    2,664.40/3,998.40 = 1,567.60/x
  3. Step 3: Cross multiply
    2,664.40x = 3,998.40 × 1,567.60
  4. Step 4: Simplify right side
    2,664.40x = 6,267,891.84
  5. Step 5: Solve for x
    x = 6,267,891.84/2,664.40
  6. Step 6: Final answer
    x = 2,352.46

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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.