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Finding the Fourth Proportional to 10,912.94, 15,072.12 and 7,370

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Solution

The fourth proportional to 10,912.94, 15,072.12 and 7,370 is: 10,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.94 : 15,072.12 = 7,370 : x
  2. Step 2: Convert to fraction form
    10,912.94/15,072.12 = 7,370/x
  3. Step 3: Cross multiply
    10,912.94x = 15,072.12 × 7,370
  4. Step 4: Simplify right side
    10,912.94x = 111,081,524.40
  5. Step 5: Solve for x
    x = 111,081,524.40/10,912.94
  6. Step 6: Final answer
    x = 10,178.88

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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.