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Finding the Fourth Proportional to 7,668.48, 11,494 and 3,455.18

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Solution

The fourth proportional to 7,668.48, 11,494 and 3,455.18 is: 5,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.48 : 11,494 = 3,455.18 : x
  2. Step 2: Convert to fraction form
    7,668.48/11,494 = 3,455.18/x
  3. Step 3: Cross multiply
    7,668.48x = 11,494 × 3,455.18
  4. Step 4: Simplify right side
    7,668.48x = 39,713,838.92
  5. Step 5: Solve for x
    x = 39,713,838.92/7,668.48
  6. Step 6: Final answer
    x = 5,178.84

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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.