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Finding the Fourth Proportional to 13,207.68, 18,234.32 and 7,904.16

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Solution

The fourth proportional to 13,207.68, 18,234.32 and 7,904.16 is: 10,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.68 : 18,234.32 = 7,904.16 : x
  2. Step 2: Convert to fraction form
    13,207.68/18,234.32 = 7,904.16/x
  3. Step 3: Cross multiply
    13,207.68x = 18,234.32 × 7,904.16
  4. Step 4: Simplify right side
    13,207.68x = 144,126,982.77
  5. Step 5: Solve for x
    x = 144,126,982.77/13,207.68
  6. Step 6: Final answer
    x = 10,912.36

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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.