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Finding the Fourth Proportional to 8,400, 12,599.76 and 2,555.76

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Solution

The fourth proportional to 8,400, 12,599.76 and 2,555.76 is: 3,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 12,599.76 = 2,555.76 : x
  2. Step 2: Convert to fraction form
    8,400/12,599.76 = 2,555.76/x
  3. Step 3: Cross multiply
    8,400x = 12,599.76 × 2,555.76
  4. Step 4: Simplify right side
    8,400x = 32,201,962.62
  5. Step 5: Solve for x
    x = 32,201,962.62/8,400
  6. Step 6: Final answer
    x = 3,833.57

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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.