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Finding the Fourth Proportional to 12,000.12, 16,562 and 7,283.50

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Solution

The fourth proportional to 12,000.12, 16,562 and 7,283.50 is: 10,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.12 : 16,562 = 7,283.50 : x
  2. Step 2: Convert to fraction form
    12,000.12/16,562 = 7,283.50/x
  3. Step 3: Cross multiply
    12,000.12x = 16,562 × 7,283.50
  4. Step 4: Simplify right side
    12,000.12x = 120,629,327
  5. Step 5: Solve for x
    x = 120,629,327/12,000.12
  6. Step 6: Final answer
    x = 10,052.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.