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Finding the Fourth Proportional to 3,279.68, 4,920.24 and 971.36

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Solution

The fourth proportional to 3,279.68, 4,920.24 and 971.36 is: 1,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.68 : 4,920.24 = 971.36 : x
  2. Step 2: Convert to fraction form
    3,279.68/4,920.24 = 971.36/x
  3. Step 3: Cross multiply
    3,279.68x = 4,920.24 × 971.36
  4. Step 4: Simplify right side
    3,279.68x = 4,779,324.33
  5. Step 5: Solve for x
    x = 4,779,324.33/3,279.68
  6. Step 6: Final answer
    x = 1,457.25

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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.