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Finding the Fourth Proportional to 38,922, 58,402.80 and 17,862

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Solution

The fourth proportional to 38,922, 58,402.80 and 17,862 is: 26,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,922 : 58,402.80 = 17,862 : x
  2. Step 2: Convert to fraction form
    38,922/58,402.80 = 17,862/x
  3. Step 3: Cross multiply
    38,922x = 58,402.80 × 17,862
  4. Step 4: Simplify right side
    38,922x = 1,043,190,813.60
  5. Step 5: Solve for x
    x = 1,043,190,813.60/38,922
  6. Step 6: Final answer
    x = 26,802.09

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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.