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Finding the Fourth Proportional to 11,651.70, 16,078.73 and 6,615.80

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Solution

The fourth proportional to 11,651.70, 16,078.73 and 6,615.80 is: 9,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.70 : 16,078.73 = 6,615.80 : x
  2. Step 2: Convert to fraction form
    11,651.70/16,078.73 = 6,615.80/x
  3. Step 3: Cross multiply
    11,651.70x = 16,078.73 × 6,615.80
  4. Step 4: Simplify right side
    11,651.70x = 106,373,661.93
  5. Step 5: Solve for x
    x = 106,373,661.93/11,651.70
  6. Step 6: Final answer
    x = 9,129.45

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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.