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Finding the Fourth Proportional to 7,921.99, 10,930.50 and 5,409.33

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Solution

The fourth proportional to 7,921.99, 10,930.50 and 5,409.33 is: 7,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.99 : 10,930.50 = 5,409.33 : x
  2. Step 2: Convert to fraction form
    7,921.99/10,930.50 = 5,409.33/x
  3. Step 3: Cross multiply
    7,921.99x = 10,930.50 × 5,409.33
  4. Step 4: Simplify right side
    7,921.99x = 59,126,705.86
  5. Step 5: Solve for x
    x = 59,126,705.86/7,921.99
  6. Step 6: Final answer
    x = 7,463.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.