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Finding the Fourth Proportional to 3,313.50, 4,970.28 and 1,005

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Solution

The fourth proportional to 3,313.50, 4,970.28 and 1,005 is: 1,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.50 : 4,970.28 = 1,005 : x
  2. Step 2: Convert to fraction form
    3,313.50/4,970.28 = 1,005/x
  3. Step 3: Cross multiply
    3,313.50x = 4,970.28 × 1,005
  4. Step 4: Simplify right side
    3,313.50x = 4,995,131.40
  5. Step 5: Solve for x
    x = 4,995,131.40/3,313.50
  6. Step 6: Final answer
    x = 1,507.51

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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.