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Finding the Fourth Proportional to 13,911.30, 19,202.49 and 8,322.30

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Solution

The fourth proportional to 13,911.30, 19,202.49 and 8,322.30 is: 11,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.30 : 19,202.49 = 8,322.30 : x
  2. Step 2: Convert to fraction form
    13,911.30/19,202.49 = 8,322.30/x
  3. Step 3: Cross multiply
    13,911.30x = 19,202.49 × 8,322.30
  4. Step 4: Simplify right side
    13,911.30x = 159,808,882.53
  5. Step 5: Solve for x
    x = 159,808,882.53/13,911.30
  6. Step 6: Final answer
    x = 11,487.70

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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.