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Finding the Fourth Proportional to 22,050, 30,428.76 and 11,978.46

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Solution

The fourth proportional to 22,050, 30,428.76 and 11,978.46 is: 16,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,050 : 30,428.76 = 11,978.46 : x
  2. Step 2: Convert to fraction form
    22,050/30,428.76 = 11,978.46/x
  3. Step 3: Cross multiply
    22,050x = 30,428.76 × 11,978.46
  4. Step 4: Simplify right side
    22,050x = 364,489,684.51
  5. Step 5: Solve for x
    x = 364,489,684.51/22,050
  6. Step 6: Final answer
    x = 16,530.14

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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.