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Finding the Fourth Proportional to 8,273.40, 12,410 and 2,429.80

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Solution

The fourth proportional to 8,273.40, 12,410 and 2,429.80 is: 3,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.40 : 12,410 = 2,429.80 : x
  2. Step 2: Convert to fraction form
    8,273.40/12,410 = 2,429.80/x
  3. Step 3: Cross multiply
    8,273.40x = 12,410 × 2,429.80
  4. Step 4: Simplify right side
    8,273.40x = 30,153,818.00
  5. Step 5: Solve for x
    x = 30,153,818.00/8,273.40
  6. Step 6: Final answer
    x = 3,644.67

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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.