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Finding the Fourth Proportional to 13,029.81, 17,981.19 and 7,061.46

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Solution

The fourth proportional to 13,029.81, 17,981.19 and 7,061.46 is: 9,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.81 : 17,981.19 = 7,061.46 : x
  2. Step 2: Convert to fraction form
    13,029.81/17,981.19 = 7,061.46/x
  3. Step 3: Cross multiply
    13,029.81x = 17,981.19 × 7,061.46
  4. Step 4: Simplify right side
    13,029.81x = 126,973,453.94
  5. Step 5: Solve for x
    x = 126,973,453.94/13,029.81
  6. Step 6: Final answer
    x = 9,744.84

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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.