Home / 3,280.24-4,920.42-971.80

Finding the Fourth Proportional to 3,280.24, 4,920.42 and 971.80

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Solution

The fourth proportional to 3,280.24, 4,920.42 and 971.80 is: 1,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.24 : 4,920.42 = 971.80 : x
  2. Step 2: Convert to fraction form
    3,280.24/4,920.42 = 971.80/x
  3. Step 3: Cross multiply
    3,280.24x = 4,920.42 × 971.80
  4. Step 4: Simplify right side
    3,280.24x = 4,781,664.16
  5. Step 5: Solve for x
    x = 4,781,664.16/3,280.24
  6. Step 6: Final answer
    x = 1,457.72

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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.