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Finding the Fourth Proportional to 6,435, 8,880.30 and 3,640.50

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Solution

The fourth proportional to 6,435, 8,880.30 and 3,640.50 is: 5,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435 : 8,880.30 = 3,640.50 : x
  2. Step 2: Convert to fraction form
    6,435/8,880.30 = 3,640.50/x
  3. Step 3: Cross multiply
    6,435x = 8,880.30 × 3,640.50
  4. Step 4: Simplify right side
    6,435x = 32,328,732.15
  5. Step 5: Solve for x
    x = 32,328,732.15/6,435
  6. Step 6: Final answer
    x = 5,023.89

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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.