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Finding the Fourth Proportional to 13,427.97, 18,529.83 and 7,762.97

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Solution

The fourth proportional to 13,427.97, 18,529.83 and 7,762.97 is: 10,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.97 : 18,529.83 = 7,762.97 : x
  2. Step 2: Convert to fraction form
    13,427.97/18,529.83 = 7,762.97/x
  3. Step 3: Cross multiply
    13,427.97x = 18,529.83 × 7,762.97
  4. Step 4: Simplify right side
    13,427.97x = 143,846,421.75
  5. Step 5: Solve for x
    x = 143,846,421.75/13,427.97
  6. Step 6: Final answer
    x = 10,712.45

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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.