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Finding the Fourth Proportional to 8,124.32, 12,183.04 and 3,504

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Solution

The fourth proportional to 8,124.32, 12,183.04 and 3,504 is: 5,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.32 : 12,183.04 = 3,504 : x
  2. Step 2: Convert to fraction form
    8,124.32/12,183.04 = 3,504/x
  3. Step 3: Cross multiply
    8,124.32x = 12,183.04 × 3,504
  4. Step 4: Simplify right side
    8,124.32x = 42,689,372.16
  5. Step 5: Solve for x
    x = 42,689,372.16/8,124.32
  6. Step 6: Final answer
    x = 5,254.52

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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.