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Finding the Fourth Proportional to 4,714.49, 6,499.81 and 3,918.50

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Solution

The fourth proportional to 4,714.49, 6,499.81 and 3,918.50 is: 5,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.49 : 6,499.81 = 3,918.50 : x
  2. Step 2: Convert to fraction form
    4,714.49/6,499.81 = 3,918.50/x
  3. Step 3: Cross multiply
    4,714.49x = 6,499.81 × 3,918.50
  4. Step 4: Simplify right side
    4,714.49x = 25,469,505.49
  5. Step 5: Solve for x
    x = 25,469,505.49/4,714.49
  6. Step 6: Final answer
    x = 5,402.39

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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.