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Finding the Fourth Proportional to 16,400.78, 22,633.08 and 8,948.78

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Solution

The fourth proportional to 16,400.78, 22,633.08 and 8,948.78 is: 12,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.78 : 22,633.08 = 8,948.78 : x
  2. Step 2: Convert to fraction form
    16,400.78/22,633.08 = 8,948.78/x
  3. Step 3: Cross multiply
    16,400.78x = 22,633.08 × 8,948.78
  4. Step 4: Simplify right side
    16,400.78x = 202,538,453.64
  5. Step 5: Solve for x
    x = 202,538,453.64/16,400.78
  6. Step 6: Final answer
    x = 12,349.32

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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.