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Finding the Fourth Proportional to 8,285.40, 12,419.76 and 4,119

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Solution

The fourth proportional to 8,285.40, 12,419.76 and 4,119 is: 6,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.40 : 12,419.76 = 4,119 : x
  2. Step 2: Convert to fraction form
    8,285.40/12,419.76 = 4,119/x
  3. Step 3: Cross multiply
    8,285.40x = 12,419.76 × 4,119
  4. Step 4: Simplify right side
    8,285.40x = 51,156,991.44
  5. Step 5: Solve for x
    x = 51,156,991.44/8,285.40
  6. Step 6: Final answer
    x = 6,174.35

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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.