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Finding the Fourth Proportional to 11,777.70, 17,668.98 and 5,117.07

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Solution

The fourth proportional to 11,777.70, 17,668.98 and 5,117.07 is: 7,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.70 : 17,668.98 = 5,117.07 : x
  2. Step 2: Convert to fraction form
    11,777.70/17,668.98 = 5,117.07/x
  3. Step 3: Cross multiply
    11,777.70x = 17,668.98 × 5,117.07
  4. Step 4: Simplify right side
    11,777.70x = 90,413,407.49
  5. Step 5: Solve for x
    x = 90,413,407.49/11,777.70
  6. Step 6: Final answer
    x = 7,676.66

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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.