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Finding the Fourth Proportional to 30,722.36, 42,402.02 and 17,799.75

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Solution

The fourth proportional to 30,722.36, 42,402.02 and 17,799.75 is: 24,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722.36 : 42,402.02 = 17,799.75 : x
  2. Step 2: Convert to fraction form
    30,722.36/42,402.02 = 17,799.75/x
  3. Step 3: Cross multiply
    30,722.36x = 42,402.02 × 17,799.75
  4. Step 4: Simplify right side
    30,722.36x = 754,745,266.50
  5. Step 5: Solve for x
    x = 754,745,266.50/30,722.36
  6. Step 6: Final answer
    x = 24,566.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.