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Finding the Fourth Proportional to 6,476.25, 8,898.49 and 5,147.64

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Solution

The fourth proportional to 6,476.25, 8,898.49 and 5,147.64 is: 7,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.25 : 8,898.49 = 5,147.64 : x
  2. Step 2: Convert to fraction form
    6,476.25/8,898.49 = 5,147.64/x
  3. Step 3: Cross multiply
    6,476.25x = 8,898.49 × 5,147.64
  4. Step 4: Simplify right side
    6,476.25x = 45,806,219.57
  5. Step 5: Solve for x
    x = 45,806,219.57/6,476.25
  6. Step 6: Final answer
    x = 7,072.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.