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Finding the Fourth Proportional to 6,342.53, 8,755.74 and 4,221.59

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Solution

The fourth proportional to 6,342.53, 8,755.74 and 4,221.59 is: 5,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.53 : 8,755.74 = 4,221.59 : x
  2. Step 2: Convert to fraction form
    6,342.53/8,755.74 = 4,221.59/x
  3. Step 3: Cross multiply
    6,342.53x = 8,755.74 × 4,221.59
  4. Step 4: Simplify right side
    6,342.53x = 36,963,100.65
  5. Step 5: Solve for x
    x = 36,963,100.65/6,342.53
  6. Step 6: Final answer
    x = 5,827.82

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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.