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Finding the Fourth Proportional to 8,484.40, 12,702.30 and 8,003.80

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Solution

The fourth proportional to 8,484.40, 12,702.30 and 8,003.80 is: 11,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.40 : 12,702.30 = 8,003.80 : x
  2. Step 2: Convert to fraction form
    8,484.40/12,702.30 = 8,003.80/x
  3. Step 3: Cross multiply
    8,484.40x = 12,702.30 × 8,003.80
  4. Step 4: Simplify right side
    8,484.40x = 101,666,668.74
  5. Step 5: Solve for x
    x = 101,666,668.74/8,484.40
  6. Step 6: Final answer
    x = 11,982.78

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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.