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Finding the Fourth Proportional to 8,400, 12,599.98 and 3,777.60

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Solution

The fourth proportional to 8,400, 12,599.98 and 3,777.60 is: 5,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 12,599.98 = 3,777.60 : x
  2. Step 2: Convert to fraction form
    8,400/12,599.98 = 3,777.60/x
  3. Step 3: Cross multiply
    8,400x = 12,599.98 × 3,777.60
  4. Step 4: Simplify right side
    8,400x = 47,597,684.45
  5. Step 5: Solve for x
    x = 47,597,684.45/8,400
  6. Step 6: Final answer
    x = 5,666.39

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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.