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Finding the Fourth Proportional to 8,374.96, 12,544.80 and 3,988

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Solution

The fourth proportional to 8,374.96, 12,544.80 and 3,988 is: 5,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.96 : 12,544.80 = 3,988 : x
  2. Step 2: Convert to fraction form
    8,374.96/12,544.80 = 3,988/x
  3. Step 3: Cross multiply
    8,374.96x = 12,544.80 × 3,988
  4. Step 4: Simplify right side
    8,374.96x = 50,028,662.40
  5. Step 5: Solve for x
    x = 50,028,662.40/8,374.96
  6. Step 6: Final answer
    x = 5,973.60

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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.