Home / 3,280.24-4,920.54-971.92

Finding the Fourth Proportional to 3,280.24, 4,920.54 and 971.92

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Solution

The fourth proportional to 3,280.24, 4,920.54 and 971.92 is: 1,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.24 : 4,920.54 = 971.92 : x
  2. Step 2: Convert to fraction form
    3,280.24/4,920.54 = 971.92/x
  3. Step 3: Cross multiply
    3,280.24x = 4,920.54 × 971.92
  4. Step 4: Simplify right side
    3,280.24x = 4,782,371.24
  5. Step 5: Solve for x
    x = 4,782,371.24/3,280.24
  6. Step 6: Final answer
    x = 1,457.93

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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.