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Finding the Fourth Proportional to 8,372.16, 12,558.84 and 3,178

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Solution

The fourth proportional to 8,372.16, 12,558.84 and 3,178 is: 4,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.16 : 12,558.84 = 3,178 : x
  2. Step 2: Convert to fraction form
    8,372.16/12,558.84 = 3,178/x
  3. Step 3: Cross multiply
    8,372.16x = 12,558.84 × 3,178
  4. Step 4: Simplify right side
    8,372.16x = 39,911,993.52
  5. Step 5: Solve for x
    x = 39,911,993.52/8,372.16
  6. Step 6: Final answer
    x = 4,767.23

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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.