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Finding the Fourth Proportional to 16,400.40, 22,629.52 and 9,326.40

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Solution

The fourth proportional to 16,400.40, 22,629.52 and 9,326.40 is: 12,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.40 : 22,629.52 = 9,326.40 : x
  2. Step 2: Convert to fraction form
    16,400.40/22,629.52 = 9,326.40/x
  3. Step 3: Cross multiply
    16,400.40x = 22,629.52 × 9,326.40
  4. Step 4: Simplify right side
    16,400.40x = 211,051,955.33
  5. Step 5: Solve for x
    x = 211,051,955.33/16,400.40
  6. Step 6: Final answer
    x = 12,868.71

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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.