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Finding the Fourth Proportional to 9,200.25, 13,800.92 and 3,044.25

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Solution

The fourth proportional to 9,200.25, 13,800.92 and 3,044.25 is: 4,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.25 : 13,800.92 = 3,044.25 : x
  2. Step 2: Convert to fraction form
    9,200.25/13,800.92 = 3,044.25/x
  3. Step 3: Cross multiply
    9,200.25x = 13,800.92 × 3,044.25
  4. Step 4: Simplify right side
    9,200.25x = 42,013,435.49
  5. Step 5: Solve for x
    x = 42,013,435.49/9,200.25
  6. Step 6: Final answer
    x = 4,566.55

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1.5x scale

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.