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Finding the Fourth Proportional to 20,976.76, 28,948.02 and 12,024.78

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Solution

The fourth proportional to 20,976.76, 28,948.02 and 12,024.78 is: 16,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976.76 : 28,948.02 = 12,024.78 : x
  2. Step 2: Convert to fraction form
    20,976.76/28,948.02 = 12,024.78/x
  3. Step 3: Cross multiply
    20,976.76x = 28,948.02 × 12,024.78
  4. Step 4: Simplify right side
    20,976.76x = 348,093,571.94
  5. Step 5: Solve for x
    x = 348,093,571.94/20,976.76
  6. Step 6: Final answer
    x = 16,594.25

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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.