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Finding the Fourth Proportional to 13,344.25, 18,415.07 and 7,456.25

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Solution

The fourth proportional to 13,344.25, 18,415.07 and 7,456.25 is: 10,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344.25 : 18,415.07 = 7,456.25 : x
  2. Step 2: Convert to fraction form
    13,344.25/18,415.07 = 7,456.25/x
  3. Step 3: Cross multiply
    13,344.25x = 18,415.07 × 7,456.25
  4. Step 4: Simplify right side
    13,344.25x = 137,307,328.41
  5. Step 5: Solve for x
    x = 137,307,328.41/13,344.25
  6. Step 6: Final answer
    x = 10,289.63

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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.