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Finding the Fourth Proportional to 6,429.80, 8,874.08 and 4,072.16

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Solution

The fourth proportional to 6,429.80, 8,874.08 and 4,072.16 is: 5,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.80 : 8,874.08 = 4,072.16 : x
  2. Step 2: Convert to fraction form
    6,429.80/8,874.08 = 4,072.16/x
  3. Step 3: Cross multiply
    6,429.80x = 8,874.08 × 4,072.16
  4. Step 4: Simplify right side
    6,429.80x = 36,136,608.88
  5. Step 5: Solve for x
    x = 36,136,608.88/6,429.80
  6. Step 6: Final answer
    x = 5,620.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.