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Finding the Fourth Proportional to 13,673.17, 18,869.61 and 7,705.09

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Solution

The fourth proportional to 13,673.17, 18,869.61 and 7,705.09 is: 10,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.17 : 18,869.61 = 7,705.09 : x
  2. Step 2: Convert to fraction form
    13,673.17/18,869.61 = 7,705.09/x
  3. Step 3: Cross multiply
    13,673.17x = 18,869.61 × 7,705.09
  4. Step 4: Simplify right side
    13,673.17x = 145,392,052.45
  5. Step 5: Solve for x
    x = 145,392,052.45/13,673.17
  6. Step 6: Final answer
    x = 10,633.38

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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.