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Finding the Fourth Proportional to 11,649.76, 16,077.23 and 6,613.89

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Solution

The fourth proportional to 11,649.76, 16,077.23 and 6,613.89 is: 9,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.76 : 16,077.23 = 6,613.89 : x
  2. Step 2: Convert to fraction form
    11,649.76/16,077.23 = 6,613.89/x
  3. Step 3: Cross multiply
    11,649.76x = 16,077.23 × 6,613.89
  4. Step 4: Simplify right side
    11,649.76x = 106,332,999.37
  5. Step 5: Solve for x
    x = 106,332,999.37/11,649.76
  6. Step 6: Final answer
    x = 9,127.49

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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.