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Finding the Fourth Proportional to 4,777.49, 7,164.87 and 1,489.70

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Solution

The fourth proportional to 4,777.49, 7,164.87 and 1,489.70 is: 2,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.49 : 7,164.87 = 1,489.70 : x
  2. Step 2: Convert to fraction form
    4,777.49/7,164.87 = 1,489.70/x
  3. Step 3: Cross multiply
    4,777.49x = 7,164.87 × 1,489.70
  4. Step 4: Simplify right side
    4,777.49x = 10,673,506.84
  5. Step 5: Solve for x
    x = 10,673,506.84/4,777.49
  6. Step 6: Final answer
    x = 2,234.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.