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Finding the Fourth Proportional to 10,668.80, 15,986.32 and 6,510.64

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Solution

The fourth proportional to 10,668.80, 15,986.32 and 6,510.64 is: 9,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.80 : 15,986.32 = 6,510.64 : x
  2. Step 2: Convert to fraction form
    10,668.80/15,986.32 = 6,510.64/x
  3. Step 3: Cross multiply
    10,668.80x = 15,986.32 × 6,510.64
  4. Step 4: Simplify right side
    10,668.80x = 104,081,174.44
  5. Step 5: Solve for x
    x = 104,081,174.44/10,668.80
  6. Step 6: Final answer
    x = 9,755.66

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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.