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Finding the Fourth Proportional to 13,073.40, 18,040.18 and 7,769.48

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Solution

The fourth proportional to 13,073.40, 18,040.18 and 7,769.48 is: 10,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.40 : 18,040.18 = 7,769.48 : x
  2. Step 2: Convert to fraction form
    13,073.40/18,040.18 = 7,769.48/x
  3. Step 3: Cross multiply
    13,073.40x = 18,040.18 × 7,769.48
  4. Step 4: Simplify right side
    13,073.40x = 140,162,817.71
  5. Step 5: Solve for x
    x = 140,162,817.71/13,073.40
  6. Step 6: Final answer
    x = 10,721.22

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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.