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Finding the Fourth Proportional to 16,120, 22,245.68 and 9,410.24

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Solution

The fourth proportional to 16,120, 22,245.68 and 9,410.24 is: 12,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120 : 22,245.68 = 9,410.24 : x
  2. Step 2: Convert to fraction form
    16,120/22,245.68 = 9,410.24/x
  3. Step 3: Cross multiply
    16,120x = 22,245.68 × 9,410.24
  4. Step 4: Simplify right side
    16,120x = 209,337,187.76
  5. Step 5: Solve for x
    x = 209,337,187.76/16,120
  6. Step 6: Final answer
    x = 12,986.18

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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.