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Finding the Fourth Proportional to 15,002.92, 20,705.24 and 8,289.14

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Solution

The fourth proportional to 15,002.92, 20,705.24 and 8,289.14 is: 11,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002.92 : 20,705.24 = 8,289.14 : x
  2. Step 2: Convert to fraction form
    15,002.92/20,705.24 = 8,289.14/x
  3. Step 3: Cross multiply
    15,002.92x = 20,705.24 × 8,289.14
  4. Step 4: Simplify right side
    15,002.92x = 171,628,529.57
  5. Step 5: Solve for x
    x = 171,628,529.57/15,002.92
  6. Step 6: Final answer
    x = 11,439.68

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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.