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Finding the Fourth Proportional to 13,750.32, 18,968.28 and 8,446.32

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Solution

The fourth proportional to 13,750.32, 18,968.28 and 8,446.32 is: 11,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.32 : 18,968.28 = 8,446.32 : x
  2. Step 2: Convert to fraction form
    13,750.32/18,968.28 = 8,446.32/x
  3. Step 3: Cross multiply
    13,750.32x = 18,968.28 × 8,446.32
  4. Step 4: Simplify right side
    13,750.32x = 160,212,162.73
  5. Step 5: Solve for x
    x = 160,212,162.73/13,750.32
  6. Step 6: Final answer
    x = 11,651.52

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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.