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Finding the Fourth Proportional to 15,784.92, 21,783.24 and 8,711.76

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Solution

The fourth proportional to 15,784.92, 21,783.24 and 8,711.76 is: 12,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.92 : 21,783.24 = 8,711.76 : x
  2. Step 2: Convert to fraction form
    15,784.92/21,783.24 = 8,711.76/x
  3. Step 3: Cross multiply
    15,784.92x = 21,783.24 × 8,711.76
  4. Step 4: Simplify right side
    15,784.92x = 189,770,358.90
  5. Step 5: Solve for x
    x = 189,770,358.90/15,784.92
  6. Step 6: Final answer
    x = 12,022.26

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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.