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Finding the Fourth Proportional to 13,431.70, 18,530.44 and 7,765.41

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Solution

The fourth proportional to 13,431.70, 18,530.44 and 7,765.41 is: 10,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.70 : 18,530.44 = 7,765.41 : x
  2. Step 2: Convert to fraction form
    13,431.70/18,530.44 = 7,765.41/x
  3. Step 3: Cross multiply
    13,431.70x = 18,530.44 × 7,765.41
  4. Step 4: Simplify right side
    13,431.70x = 143,896,464.08
  5. Step 5: Solve for x
    x = 143,896,464.08/13,431.70
  6. Step 6: Final answer
    x = 10,713.20

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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.