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Finding the Fourth Proportional to 6,401.80, 8,835.78 and 4,164.04

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Solution

The fourth proportional to 6,401.80, 8,835.78 and 4,164.04 is: 5,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.80 : 8,835.78 = 4,164.04 : x
  2. Step 2: Convert to fraction form
    6,401.80/8,835.78 = 4,164.04/x
  3. Step 3: Cross multiply
    6,401.80x = 8,835.78 × 4,164.04
  4. Step 4: Simplify right side
    6,401.80x = 36,792,541.35
  5. Step 5: Solve for x
    x = 36,792,541.35/6,401.80
  6. Step 6: Final answer
    x = 5,747.22

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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.