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Finding the Fourth Proportional to 10,409.92, 15,614.02 and 5,412.32

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Solution

The fourth proportional to 10,409.92, 15,614.02 and 5,412.32 is: 8,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.92 : 15,614.02 = 5,412.32 : x
  2. Step 2: Convert to fraction form
    10,409.92/15,614.02 = 5,412.32/x
  3. Step 3: Cross multiply
    10,409.92x = 15,614.02 × 5,412.32
  4. Step 4: Simplify right side
    10,409.92x = 84,508,029.53
  5. Step 5: Solve for x
    x = 84,508,029.53/10,409.92
  6. Step 6: Final answer
    x = 8,118.03

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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.