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Finding the Fourth Proportional to 13,527.76, 18,671.44 and 8,803.84

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Solution

The fourth proportional to 13,527.76, 18,671.44 and 8,803.84 is: 12,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.76 : 18,671.44 = 8,803.84 : x
  2. Step 2: Convert to fraction form
    13,527.76/18,671.44 = 8,803.84/x
  3. Step 3: Cross multiply
    13,527.76x = 18,671.44 × 8,803.84
  4. Step 4: Simplify right side
    13,527.76x = 164,380,370.33
  5. Step 5: Solve for x
    x = 164,380,370.33/13,527.76
  6. Step 6: Final answer
    x = 12,151.34

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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.