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Finding the Fourth Proportional to 20,912.92, 28,847.16 and 12,409.45

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Solution

The fourth proportional to 20,912.92, 28,847.16 and 12,409.45 is: 17,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,912.92 : 28,847.16 = 12,409.45 : x
  2. Step 2: Convert to fraction form
    20,912.92/28,847.16 = 12,409.45/x
  3. Step 3: Cross multiply
    20,912.92x = 28,847.16 × 12,409.45
  4. Step 4: Simplify right side
    20,912.92x = 357,977,389.66
  5. Step 5: Solve for x
    x = 357,977,389.66/20,912.92
  6. Step 6: Final answer
    x = 17,117.52

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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.