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Finding the Fourth Proportional to 12,771.47, 17,624.45 and 7,182.47

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Solution

The fourth proportional to 12,771.47, 17,624.45 and 7,182.47 is: 9,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.47 : 17,624.45 = 7,182.47 : x
  2. Step 2: Convert to fraction form
    12,771.47/17,624.45 = 7,182.47/x
  3. Step 3: Cross multiply
    12,771.47x = 17,624.45 × 7,182.47
  4. Step 4: Simplify right side
    12,771.47x = 126,587,013.23
  5. Step 5: Solve for x
    x = 126,587,013.23/12,771.47
  6. Step 6: Final answer
    x = 9,911.71

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1.5x scale

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.