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Finding the Fourth Proportional to 12,184.48, 18,305.92 and 7,810.48

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Solution

The fourth proportional to 12,184.48, 18,305.92 and 7,810.48 is: 11,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.48 : 18,305.92 = 7,810.48 : x
  2. Step 2: Convert to fraction form
    12,184.48/18,305.92 = 7,810.48/x
  3. Step 3: Cross multiply
    12,184.48x = 18,305.92 × 7,810.48
  4. Step 4: Simplify right side
    12,184.48x = 142,978,022.04
  5. Step 5: Solve for x
    x = 142,978,022.04/12,184.48
  6. Step 6: Final answer
    x = 11,734.44

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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.