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Finding the Fourth Proportional to 12,805.80, 19,207.08 and 5,406.54

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Solution

The fourth proportional to 12,805.80, 19,207.08 and 5,406.54 is: 8,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.80 : 19,207.08 = 5,406.54 : x
  2. Step 2: Convert to fraction form
    12,805.80/19,207.08 = 5,406.54/x
  3. Step 3: Cross multiply
    12,805.80x = 19,207.08 × 5,406.54
  4. Step 4: Simplify right side
    12,805.80x = 103,843,846.30
  5. Step 5: Solve for x
    x = 103,843,846.30/12,805.80
  6. Step 6: Final answer
    x = 8,109.13

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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.