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Finding the Fourth Proportional to 8,668.08, 11,958.84 and 7,830

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Solution

The fourth proportional to 8,668.08, 11,958.84 and 7,830 is: 10,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.08 : 11,958.84 = 7,830 : x
  2. Step 2: Convert to fraction form
    8,668.08/11,958.84 = 7,830/x
  3. Step 3: Cross multiply
    8,668.08x = 11,958.84 × 7,830
  4. Step 4: Simplify right side
    8,668.08x = 93,637,717.20
  5. Step 5: Solve for x
    x = 93,637,717.20/8,668.08
  6. Step 6: Final answer
    x = 10,802.59

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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.