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Finding the Fourth Proportional to 7,042.42, 9,718.50 and 3,898.54

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Solution

The fourth proportional to 7,042.42, 9,718.50 and 3,898.54 is: 5,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.42 : 9,718.50 = 3,898.54 : x
  2. Step 2: Convert to fraction form
    7,042.42/9,718.50 = 3,898.54/x
  3. Step 3: Cross multiply
    7,042.42x = 9,718.50 × 3,898.54
  4. Step 4: Simplify right side
    7,042.42x = 37,887,960.99
  5. Step 5: Solve for x
    x = 37,887,960.99/7,042.42
  6. Step 6: Final answer
    x = 5,379.96

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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.