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Finding the Fourth Proportional to 21,603.84, 32,412.44 and 9,129.43

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Solution

The fourth proportional to 21,603.84, 32,412.44 and 9,129.43 is: 13,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,603.84 : 32,412.44 = 9,129.43 : x
  2. Step 2: Convert to fraction form
    21,603.84/32,412.44 = 9,129.43/x
  3. Step 3: Cross multiply
    21,603.84x = 32,412.44 × 9,129.43
  4. Step 4: Simplify right side
    21,603.84x = 295,907,056.46
  5. Step 5: Solve for x
    x = 295,907,056.46/21,603.84
  6. Step 6: Final answer
    x = 13,696.97

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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.