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Finding the Fourth Proportional to 13,205.41, 18,223.46 and 7,616.41

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Solution

The fourth proportional to 13,205.41, 18,223.46 and 7,616.41 is: 10,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.41 : 18,223.46 = 7,616.41 : x
  2. Step 2: Convert to fraction form
    13,205.41/18,223.46 = 7,616.41/x
  3. Step 3: Cross multiply
    13,205.41x = 18,223.46 × 7,616.41
  4. Step 4: Simplify right side
    13,205.41x = 138,797,342.98
  5. Step 5: Solve for x
    x = 138,797,342.98/13,205.41
  6. Step 6: Final answer
    x = 10,510.64

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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.