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Finding the Fourth Proportional to 30,808.86, 42,516.24 and 17,380.08

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Solution

The fourth proportional to 30,808.86, 42,516.24 and 17,380.08 is: 23,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.86 : 42,516.24 = 17,380.08 : x
  2. Step 2: Convert to fraction form
    30,808.86/42,516.24 = 17,380.08/x
  3. Step 3: Cross multiply
    30,808.86x = 42,516.24 × 17,380.08
  4. Step 4: Simplify right side
    30,808.86x = 738,935,652.50
  5. Step 5: Solve for x
    x = 738,935,652.50/30,808.86
  6. Step 6: Final answer
    x = 23,984.52

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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.