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Finding the Fourth Proportional to 7,102.91, 9,800.43 and 4,743.38

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Solution

The fourth proportional to 7,102.91, 9,800.43 and 4,743.38 is: 6,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.91 : 9,800.43 = 4,743.38 : x
  2. Step 2: Convert to fraction form
    7,102.91/9,800.43 = 4,743.38/x
  3. Step 3: Cross multiply
    7,102.91x = 9,800.43 × 4,743.38
  4. Step 4: Simplify right side
    7,102.91x = 46,487,114.65
  5. Step 5: Solve for x
    x = 46,487,114.65/7,102.91
  6. Step 6: Final answer
    x = 6,544.80

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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.