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Finding the Fourth Proportional to 30,990.65, 42,768 and 17,561.46

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Solution

The fourth proportional to 30,990.65, 42,768 and 17,561.46 is: 24,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.65 : 42,768 = 17,561.46 : x
  2. Step 2: Convert to fraction form
    30,990.65/42,768 = 17,561.46/x
  3. Step 3: Cross multiply
    30,990.65x = 42,768 × 17,561.46
  4. Step 4: Simplify right side
    30,990.65x = 751,068,441.09
  5. Step 5: Solve for x
    x = 751,068,441.09/30,990.65
  6. Step 6: Final answer
    x = 24,235.32

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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.