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Finding the Fourth Proportional to 12,543.84, 18,816.48 and 3,777.84

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Solution

The fourth proportional to 12,543.84, 18,816.48 and 3,777.84 is: 5,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.84 : 18,816.48 = 3,777.84 : x
  2. Step 2: Convert to fraction form
    12,543.84/18,816.48 = 3,777.84/x
  3. Step 3: Cross multiply
    12,543.84x = 18,816.48 × 3,777.84
  4. Step 4: Simplify right side
    12,543.84x = 71,085,650.80
  5. Step 5: Solve for x
    x = 71,085,650.80/12,543.84
  6. Step 6: Final answer
    x = 5,666.98

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Similar ratio
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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.