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Finding the Fourth Proportional to 16,428.09, 22,672.09 and 9,258.49

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Solution

The fourth proportional to 16,428.09, 22,672.09 and 9,258.49 is: 12,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.09 : 22,672.09 = 9,258.49 : x
  2. Step 2: Convert to fraction form
    16,428.09/22,672.09 = 9,258.49/x
  3. Step 3: Cross multiply
    16,428.09x = 22,672.09 × 9,258.49
  4. Step 4: Simplify right side
    16,428.09x = 209,909,300.58
  5. Step 5: Solve for x
    x = 209,909,300.58/16,428.09
  6. Step 6: Final answer
    x = 12,777.46

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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.