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Finding the Fourth Proportional to 13,674.75, 18,871.16 and 7,387.13

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Solution

The fourth proportional to 13,674.75, 18,871.16 and 7,387.13 is: 10,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.75 : 18,871.16 = 7,387.13 : x
  2. Step 2: Convert to fraction form
    13,674.75/18,871.16 = 7,387.13/x
  3. Step 3: Cross multiply
    13,674.75x = 18,871.16 × 7,387.13
  4. Step 4: Simplify right side
    13,674.75x = 139,403,580.88
  5. Step 5: Solve for x
    x = 139,403,580.88/13,674.75
  6. Step 6: Final answer
    x = 10,194.23

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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.