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Finding the Fourth Proportional to 10,513.56, 15,736.32 and 7,739.64

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Solution

The fourth proportional to 10,513.56, 15,736.32 and 7,739.64 is: 11,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.56 : 15,736.32 = 7,739.64 : x
  2. Step 2: Convert to fraction form
    10,513.56/15,736.32 = 7,739.64/x
  3. Step 3: Cross multiply
    10,513.56x = 15,736.32 × 7,739.64
  4. Step 4: Simplify right side
    10,513.56x = 121,793,451.72
  5. Step 5: Solve for x
    x = 121,793,451.72/10,513.56
  6. Step 6: Final answer
    x = 11,584.42

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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.