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Finding the Fourth Proportional to 12,107.20, 18,160.80 and 9,035.20

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Solution

The fourth proportional to 12,107.20, 18,160.80 and 9,035.20 is: 13,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.20 : 18,160.80 = 9,035.20 : x
  2. Step 2: Convert to fraction form
    12,107.20/18,160.80 = 9,035.20/x
  3. Step 3: Cross multiply
    12,107.20x = 18,160.80 × 9,035.20
  4. Step 4: Simplify right side
    12,107.20x = 164,086,460.16
  5. Step 5: Solve for x
    x = 164,086,460.16/12,107.20
  6. Step 6: Final answer
    x = 13,552.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.