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Finding the Fourth Proportional to 7,582.57, 11,373.78 and 1,960.21

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Solution

The fourth proportional to 7,582.57, 11,373.78 and 1,960.21 is: 2,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.57 : 11,373.78 = 1,960.21 : x
  2. Step 2: Convert to fraction form
    7,582.57/11,373.78 = 1,960.21/x
  3. Step 3: Cross multiply
    7,582.57x = 11,373.78 × 1,960.21
  4. Step 4: Simplify right side
    7,582.57x = 22,294,987.49
  5. Step 5: Solve for x
    x = 22,294,987.49/7,582.57
  6. Step 6: Final answer
    x = 2,940.29

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1.5x scale

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.