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Finding the Fourth Proportional to 12,473.52, 18,690.84 and 7,846.80

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Solution

The fourth proportional to 12,473.52, 18,690.84 and 7,846.80 is: 11,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.52 : 18,690.84 = 7,846.80 : x
  2. Step 2: Convert to fraction form
    12,473.52/18,690.84 = 7,846.80/x
  3. Step 3: Cross multiply
    12,473.52x = 18,690.84 × 7,846.80
  4. Step 4: Simplify right side
    12,473.52x = 146,663,283.31
  5. Step 5: Solve for x
    x = 146,663,283.31/12,473.52
  6. Step 6: Final answer
    x = 11,757.97

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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.