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Finding the Fourth Proportional to 16,509.78, 22,783.56 and 8,956.20

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Solution

The fourth proportional to 16,509.78, 22,783.56 and 8,956.20 is: 12,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.78 : 22,783.56 = 8,956.20 : x
  2. Step 2: Convert to fraction form
    16,509.78/22,783.56 = 8,956.20/x
  3. Step 3: Cross multiply
    16,509.78x = 22,783.56 × 8,956.20
  4. Step 4: Simplify right side
    16,509.78x = 204,054,120.07
  5. Step 5: Solve for x
    x = 204,054,120.07/16,509.78
  6. Step 6: Final answer
    x = 12,359.59

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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.