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Finding the Fourth Proportional to 13,684.32, 18,889.04 and 8,020.88

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Solution

The fourth proportional to 13,684.32, 18,889.04 and 8,020.88 is: 11,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.32 : 18,889.04 = 8,020.88 : x
  2. Step 2: Convert to fraction form
    13,684.32/18,889.04 = 8,020.88/x
  3. Step 3: Cross multiply
    13,684.32x = 18,889.04 × 8,020.88
  4. Step 4: Simplify right side
    13,684.32x = 151,506,723.16
  5. Step 5: Solve for x
    x = 151,506,723.16/13,684.32
  6. Step 6: Final answer
    x = 11,071.56

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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.