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Finding the Fourth Proportional to 30,503.80, 45,757.34 and 9,458.38

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Solution

The fourth proportional to 30,503.80, 45,757.34 and 9,458.38 is: 14,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,503.80 : 45,757.34 = 9,458.38 : x
  2. Step 2: Convert to fraction form
    30,503.80/45,757.34 = 9,458.38/x
  3. Step 3: Cross multiply
    30,503.80x = 45,757.34 × 9,458.38
  4. Step 4: Simplify right side
    30,503.80x = 432,790,309.51
  5. Step 5: Solve for x
    x = 432,790,309.51/30,503.80
  6. Step 6: Final answer
    x = 14,188.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.