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Finding the Fourth Proportional to 13,129.50, 18,119.43 and 7,540.86

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Solution

The fourth proportional to 13,129.50, 18,119.43 and 7,540.86 is: 10,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.50 : 18,119.43 = 7,540.86 : x
  2. Step 2: Convert to fraction form
    13,129.50/18,119.43 = 7,540.86/x
  3. Step 3: Cross multiply
    13,129.50x = 18,119.43 × 7,540.86
  4. Step 4: Simplify right side
    13,129.50x = 136,636,084.91
  5. Step 5: Solve for x
    x = 136,636,084.91/13,129.50
  6. Step 6: Final answer
    x = 10,406.80

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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.