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Finding the Fourth Proportional to 3,920.92, 5,880.94 and 1,580.52

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Solution

The fourth proportional to 3,920.92, 5,880.94 and 1,580.52 is: 2,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.92 : 5,880.94 = 1,580.52 : x
  2. Step 2: Convert to fraction form
    3,920.92/5,880.94 = 1,580.52/x
  3. Step 3: Cross multiply
    3,920.92x = 5,880.94 × 1,580.52
  4. Step 4: Simplify right side
    3,920.92x = 9,294,943.29
  5. Step 5: Solve for x
    x = 9,294,943.29/3,920.92
  6. Step 6: Final answer
    x = 2,370.60

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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.