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Finding the Fourth Proportional to 7,146, 9,861.49 and 4,002.19

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Solution

The fourth proportional to 7,146, 9,861.49 and 4,002.19 is: 5,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146 : 9,861.49 = 4,002.19 : x
  2. Step 2: Convert to fraction form
    7,146/9,861.49 = 4,002.19/x
  3. Step 3: Cross multiply
    7,146x = 9,861.49 × 4,002.19
  4. Step 4: Simplify right side
    7,146x = 39,467,536.65
  5. Step 5: Solve for x
    x = 39,467,536.65/7,146
  6. Step 6: Final answer
    x = 5,523.03

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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.