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Finding the Fourth Proportional to 8,289.57, 12,421.59 and 3,844.50

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Solution

The fourth proportional to 8,289.57, 12,421.59 and 3,844.50 is: 5,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.57 : 12,421.59 = 3,844.50 : x
  2. Step 2: Convert to fraction form
    8,289.57/12,421.59 = 3,844.50/x
  3. Step 3: Cross multiply
    8,289.57x = 12,421.59 × 3,844.50
  4. Step 4: Simplify right side
    8,289.57x = 47,754,802.76
  5. Step 5: Solve for x
    x = 47,754,802.76/8,289.57
  6. Step 6: Final answer
    x = 5,760.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.