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Finding the Fourth Proportional to 8,199.80, 12,300.30 and 2,356.46

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Solution

The fourth proportional to 8,199.80, 12,300.30 and 2,356.46 is: 3,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.80 : 12,300.30 = 2,356.46 : x
  2. Step 2: Convert to fraction form
    8,199.80/12,300.30 = 2,356.46/x
  3. Step 3: Cross multiply
    8,199.80x = 12,300.30 × 2,356.46
  4. Step 4: Simplify right side
    8,199.80x = 28,985,164.94
  5. Step 5: Solve for x
    x = 28,985,164.94/8,199.80
  6. Step 6: Final answer
    x = 3,534.86

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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.