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Finding the Fourth Proportional to 11,432, 15,782.64 and 8,632.64

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Solution

The fourth proportional to 11,432, 15,782.64 and 8,632.64 is: 11,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432 : 15,782.64 = 8,632.64 : x
  2. Step 2: Convert to fraction form
    11,432/15,782.64 = 8,632.64/x
  3. Step 3: Cross multiply
    11,432x = 15,782.64 × 8,632.64
  4. Step 4: Simplify right side
    11,432x = 136,245,849.37
  5. Step 5: Solve for x
    x = 136,245,849.37/11,432
  6. Step 6: Final answer
    x = 11,917.94

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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.