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Finding the Fourth Proportional to 13,386.70, 18,473.13 and 7,418.49

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Solution

The fourth proportional to 13,386.70, 18,473.13 and 7,418.49 is: 10,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.70 : 18,473.13 = 7,418.49 : x
  2. Step 2: Convert to fraction form
    13,386.70/18,473.13 = 7,418.49/x
  3. Step 3: Cross multiply
    13,386.70x = 18,473.13 × 7,418.49
  4. Step 4: Simplify right side
    13,386.70x = 137,042,660.90
  5. Step 5: Solve for x
    x = 137,042,660.90/13,386.70
  6. Step 6: Final answer
    x = 10,237.22

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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.