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Finding the Fourth Proportional to 16,119.40, 22,247.58 and 9,409

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Solution

The fourth proportional to 16,119.40, 22,247.58 and 9,409 is: 12,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.40 : 22,247.58 = 9,409 : x
  2. Step 2: Convert to fraction form
    16,119.40/22,247.58 = 9,409/x
  3. Step 3: Cross multiply
    16,119.40x = 22,247.58 × 9,409
  4. Step 4: Simplify right side
    16,119.40x = 209,327,480.22
  5. Step 5: Solve for x
    x = 209,327,480.22/16,119.40
  6. Step 6: Final answer
    x = 12,986.06

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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.