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Finding the Fourth Proportional to 6,487.80, 8,953.50 and 3,834.60

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Solution

The fourth proportional to 6,487.80, 8,953.50 and 3,834.60 is: 5,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.80 : 8,953.50 = 3,834.60 : x
  2. Step 2: Convert to fraction form
    6,487.80/8,953.50 = 3,834.60/x
  3. Step 3: Cross multiply
    6,487.80x = 8,953.50 × 3,834.60
  4. Step 4: Simplify right side
    6,487.80x = 34,333,091.10
  5. Step 5: Solve for x
    x = 34,333,091.10/6,487.80
  6. Step 6: Final answer
    x = 5,291.95

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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.