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Finding the Fourth Proportional to 7,094.12, 10,640.88 and 1,900

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Solution

The fourth proportional to 7,094.12, 10,640.88 and 1,900 is: 2,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.12 : 10,640.88 = 1,900 : x
  2. Step 2: Convert to fraction form
    7,094.12/10,640.88 = 1,900/x
  3. Step 3: Cross multiply
    7,094.12x = 10,640.88 × 1,900
  4. Step 4: Simplify right side
    7,094.12x = 20,217,672
  5. Step 5: Solve for x
    x = 20,217,672/7,094.12
  6. Step 6: Final answer
    x = 2,849.92

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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.