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Finding the Fourth Proportional to 23,790, 32,830.20 and 14,358.56

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Solution

The fourth proportional to 23,790, 32,830.20 and 14,358.56 is: 19,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,790 : 32,830.20 = 14,358.56 : x
  2. Step 2: Convert to fraction form
    23,790/32,830.20 = 14,358.56/x
  3. Step 3: Cross multiply
    23,790x = 32,830.20 × 14,358.56
  4. Step 4: Simplify right side
    23,790x = 471,394,396.51
  5. Step 5: Solve for x
    x = 471,394,396.51/23,790
  6. Step 6: Final answer
    x = 19,814.81

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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.