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Finding the Fourth Proportional to 13,661.40, 18,854.53 and 7,694.23

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Solution

The fourth proportional to 13,661.40, 18,854.53 and 7,694.23 is: 10,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.40 : 18,854.53 = 7,694.23 : x
  2. Step 2: Convert to fraction form
    13,661.40/18,854.53 = 7,694.23/x
  3. Step 3: Cross multiply
    13,661.40x = 18,854.53 × 7,694.23
  4. Step 4: Simplify right side
    13,661.40x = 145,071,090.36
  5. Step 5: Solve for x
    x = 145,071,090.36/13,661.40
  6. Step 6: Final answer
    x = 10,619.05

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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.