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Finding the Fourth Proportional to 16,509.12, 22,782.49 and 8,955.47

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Solution

The fourth proportional to 16,509.12, 22,782.49 and 8,955.47 is: 12,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.12 : 22,782.49 = 8,955.47 : x
  2. Step 2: Convert to fraction form
    16,509.12/22,782.49 = 8,955.47/x
  3. Step 3: Cross multiply
    16,509.12x = 22,782.49 × 8,955.47
  4. Step 4: Simplify right side
    16,509.12x = 204,027,769.42
  5. Step 5: Solve for x
    x = 204,027,769.42/16,509.12
  6. Step 6: Final answer
    x = 12,358.49

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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.