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Finding the Fourth Proportional to 3,744.65, 5,617.29 and 971.30

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Solution

The fourth proportional to 3,744.65, 5,617.29 and 971.30 is: 1,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.65 : 5,617.29 = 971.30 : x
  2. Step 2: Convert to fraction form
    3,744.65/5,617.29 = 971.30/x
  3. Step 3: Cross multiply
    3,744.65x = 5,617.29 × 971.30
  4. Step 4: Simplify right side
    3,744.65x = 5,456,073.78
  5. Step 5: Solve for x
    x = 5,456,073.78/3,744.65
  6. Step 6: Final answer
    x = 1,457.03

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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.