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Finding the Fourth Proportional to 8,262.34, 12,395.43 and 2,419.40

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Solution

The fourth proportional to 8,262.34, 12,395.43 and 2,419.40 is: 3,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.34 : 12,395.43 = 2,419.40 : x
  2. Step 2: Convert to fraction form
    8,262.34/12,395.43 = 2,419.40/x
  3. Step 3: Cross multiply
    8,262.34x = 12,395.43 × 2,419.40
  4. Step 4: Simplify right side
    8,262.34x = 29,989,534.33
  5. Step 5: Solve for x
    x = 29,989,534.33/8,262.34
  6. Step 6: Final answer
    x = 3,629.67

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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.