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Finding the Fourth Proportional to 8,281.40, 12,419.40 and 3,086.60

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Solution

The fourth proportional to 8,281.40, 12,419.40 and 3,086.60 is: 4,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.40 : 12,419.40 = 3,086.60 : x
  2. Step 2: Convert to fraction form
    8,281.40/12,419.40 = 3,086.60/x
  3. Step 3: Cross multiply
    8,281.40x = 12,419.40 × 3,086.60
  4. Step 4: Simplify right side
    8,281.40x = 38,333,720.04
  5. Step 5: Solve for x
    x = 38,333,720.04/8,281.40
  6. Step 6: Final answer
    x = 4,628.89

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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.