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Finding the Fourth Proportional to 12,266.34, 16,922.07 and 9,428.64

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Solution

The fourth proportional to 12,266.34, 16,922.07 and 9,428.64 is: 13,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.34 : 16,922.07 = 9,428.64 : x
  2. Step 2: Convert to fraction form
    12,266.34/16,922.07 = 9,428.64/x
  3. Step 3: Cross multiply
    12,266.34x = 16,922.07 × 9,428.64
  4. Step 4: Simplify right side
    12,266.34x = 159,552,106.08
  5. Step 5: Solve for x
    x = 159,552,106.08/12,266.34
  6. Step 6: Final answer
    x = 13,007.31

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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.