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Finding the Fourth Proportional to 30,755.83, 42,434.27 and 17,322.39

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Solution

The fourth proportional to 30,755.83, 42,434.27 and 17,322.39 is: 23,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.83 : 42,434.27 = 17,322.39 : x
  2. Step 2: Convert to fraction form
    30,755.83/42,434.27 = 17,322.39/x
  3. Step 3: Cross multiply
    30,755.83x = 42,434.27 × 17,322.39
  4. Step 4: Simplify right side
    30,755.83x = 735,062,675.52
  5. Step 5: Solve for x
    x = 735,062,675.52/30,755.83
  6. Step 6: Final answer
    x = 23,899.95

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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.