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Finding the Fourth Proportional to 6,400.65, 8,827.38 and 4,161.71

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Solution

The fourth proportional to 6,400.65, 8,827.38 and 4,161.71 is: 5,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.65 : 8,827.38 = 4,161.71 : x
  2. Step 2: Convert to fraction form
    6,400.65/8,827.38 = 4,161.71/x
  3. Step 3: Cross multiply
    6,400.65x = 8,827.38 × 4,161.71
  4. Step 4: Simplify right side
    6,400.65x = 36,737,017.69
  5. Step 5: Solve for x
    x = 36,737,017.69/6,400.65
  6. Step 6: Final answer
    x = 5,739.57

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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.