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Finding the Fourth Proportional to 10,649.92, 15,980.34 and 5,975.20

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Solution

The fourth proportional to 10,649.92, 15,980.34 and 5,975.20 is: 8,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.92 : 15,980.34 = 5,975.20 : x
  2. Step 2: Convert to fraction form
    10,649.92/15,980.34 = 5,975.20/x
  3. Step 3: Cross multiply
    10,649.92x = 15,980.34 × 5,975.20
  4. Step 4: Simplify right side
    10,649.92x = 95,485,727.57
  5. Step 5: Solve for x
    x = 95,485,727.57/10,649.92
  6. Step 6: Final answer
    x = 8,965.86

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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.