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Finding the Fourth Proportional to 22,435.89, 30,961.53 and 13,009.92

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Solution

The fourth proportional to 22,435.89, 30,961.53 and 13,009.92 is: 17,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.89 : 30,961.53 = 13,009.92 : x
  2. Step 2: Convert to fraction form
    22,435.89/30,961.53 = 13,009.92/x
  3. Step 3: Cross multiply
    22,435.89x = 30,961.53 × 13,009.92
  4. Step 4: Simplify right side
    22,435.89x = 402,807,028.38
  5. Step 5: Solve for x
    x = 402,807,028.38/22,435.89
  6. Step 6: Final answer
    x = 17,953.69

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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.