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Finding the Fourth Proportional to 12,035.64, 18,020.64 and 8,132.28

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Solution

The fourth proportional to 12,035.64, 18,020.64 and 8,132.28 is: 12,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.64 : 18,020.64 = 8,132.28 : x
  2. Step 2: Convert to fraction form
    12,035.64/18,020.64 = 8,132.28/x
  3. Step 3: Cross multiply
    12,035.64x = 18,020.64 × 8,132.28
  4. Step 4: Simplify right side
    12,035.64x = 146,548,890.26
  5. Step 5: Solve for x
    x = 146,548,890.26/12,035.64
  6. Step 6: Final answer
    x = 12,176.24

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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.