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Finding the Fourth Proportional to 10,800, 16,200 and 3,009.02

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Solution

The fourth proportional to 10,800, 16,200 and 3,009.02 is: 4,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800 : 16,200 = 3,009.02 : x
  2. Step 2: Convert to fraction form
    10,800/16,200 = 3,009.02/x
  3. Step 3: Cross multiply
    10,800x = 16,200 × 3,009.02
  4. Step 4: Simplify right side
    10,800x = 48,746,043
  5. Step 5: Solve for x
    x = 48,746,043/10,800
  6. Step 6: Final answer
    x = 4,513.52

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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.