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Finding the Fourth Proportional to 3,006.50, 4,509.99 and 954.50

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Solution

The fourth proportional to 3,006.50, 4,509.99 and 954.50 is: 1,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.50 : 4,509.99 = 954.50 : x
  2. Step 2: Convert to fraction form
    3,006.50/4,509.99 = 954.50/x
  3. Step 3: Cross multiply
    3,006.50x = 4,509.99 × 954.50
  4. Step 4: Simplify right side
    3,006.50x = 4,304,785.46
  5. Step 5: Solve for x
    x = 4,304,785.46/3,006.50
  6. Step 6: Final answer
    x = 1,431.83

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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.