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Finding the Fourth Proportional to 6,296.64, 8,687.52 and 4,200

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Solution

The fourth proportional to 6,296.64, 8,687.52 and 4,200 is: 5,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.64 : 8,687.52 = 4,200 : x
  2. Step 2: Convert to fraction form
    6,296.64/8,687.52 = 4,200/x
  3. Step 3: Cross multiply
    6,296.64x = 8,687.52 × 4,200
  4. Step 4: Simplify right side
    6,296.64x = 36,487,584
  5. Step 5: Solve for x
    x = 36,487,584/6,296.64
  6. Step 6: Final answer
    x = 5,794.77

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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.