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Finding the Fourth Proportional to 22,428.40, 33,642.86 and 9,603.84

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Solution

The fourth proportional to 22,428.40, 33,642.86 and 9,603.84 is: 14,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428.40 : 33,642.86 = 9,603.84 : x
  2. Step 2: Convert to fraction form
    22,428.40/33,642.86 = 9,603.84/x
  3. Step 3: Cross multiply
    22,428.40x = 33,642.86 × 9,603.84
  4. Step 4: Simplify right side
    22,428.40x = 323,100,644.58
  5. Step 5: Solve for x
    x = 323,100,644.58/22,428.40
  6. Step 6: Final answer
    x = 14,405.87

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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.