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Finding the Fourth Proportional to 13,645.70, 18,829.72 and 7,677.24

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Solution

The fourth proportional to 13,645.70, 18,829.72 and 7,677.24 is: 10,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.70 : 18,829.72 = 7,677.24 : x
  2. Step 2: Convert to fraction form
    13,645.70/18,829.72 = 7,677.24/x
  3. Step 3: Cross multiply
    13,645.70x = 18,829.72 × 7,677.24
  4. Step 4: Simplify right side
    13,645.70x = 144,560,279.57
  5. Step 5: Solve for x
    x = 144,560,279.57/13,645.70
  6. Step 6: Final answer
    x = 10,593.83

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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.