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Finding the Fourth Proportional to 10,668.54, 15,980.94 and 7,147.74

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Solution

The fourth proportional to 10,668.54, 15,980.94 and 7,147.74 is: 10,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.54 : 15,980.94 = 7,147.74 : x
  2. Step 2: Convert to fraction form
    10,668.54/15,980.94 = 7,147.74/x
  3. Step 3: Cross multiply
    10,668.54x = 15,980.94 × 7,147.74
  4. Step 4: Simplify right side
    10,668.54x = 114,227,604.08
  5. Step 5: Solve for x
    x = 114,227,604.08/10,668.54
  6. Step 6: Final answer
    x = 10,706.96

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1.5x scale

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.