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Finding the Fourth Proportional to 12,549.96, 18,813.78 and 4,764.24

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Solution

The fourth proportional to 12,549.96, 18,813.78 and 4,764.24 is: 7,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.96 : 18,813.78 = 4,764.24 : x
  2. Step 2: Convert to fraction form
    12,549.96/18,813.78 = 4,764.24/x
  3. Step 3: Cross multiply
    12,549.96x = 18,813.78 × 4,764.24
  4. Step 4: Simplify right side
    12,549.96x = 89,633,363.23
  5. Step 5: Solve for x
    x = 89,633,363.23/12,549.96
  6. Step 6: Final answer
    x = 7,142.12

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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.