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Finding the Fourth Proportional to 22,428.70, 33,630.90 and 9,282.40

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Solution

The fourth proportional to 22,428.70, 33,630.90 and 9,282.40 is: 13,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428.70 : 33,630.90 = 9,282.40 : x
  2. Step 2: Convert to fraction form
    22,428.70/33,630.90 = 9,282.40/x
  3. Step 3: Cross multiply
    22,428.70x = 33,630.90 × 9,282.40
  4. Step 4: Simplify right side
    22,428.70x = 312,175,466.16
  5. Step 5: Solve for x
    x = 312,175,466.16/22,428.70
  6. Step 6: Final answer
    x = 13,918.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.