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Finding the Fourth Proportional to 7,289.92, 10,930.38 and 4,952.80

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Solution

The fourth proportional to 7,289.92, 10,930.38 and 4,952.80 is: 7,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.92 : 10,930.38 = 4,952.80 : x
  2. Step 2: Convert to fraction form
    7,289.92/10,930.38 = 4,952.80/x
  3. Step 3: Cross multiply
    7,289.92x = 10,930.38 × 4,952.80
  4. Step 4: Simplify right side
    7,289.92x = 54,135,986.06
  5. Step 5: Solve for x
    x = 54,135,986.06/7,289.92
  6. Step 6: Final answer
    x = 7,426.14

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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.