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Finding the Fourth Proportional to 30,503.20, 45,749.15 and 9,439.31

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Solution

The fourth proportional to 30,503.20, 45,749.15 and 9,439.31 is: 14,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,503.20 : 45,749.15 = 9,439.31 : x
  2. Step 2: Convert to fraction form
    30,503.20/45,749.15 = 9,439.31/x
  3. Step 3: Cross multiply
    30,503.20x = 45,749.15 × 9,439.31
  4. Step 4: Simplify right side
    30,503.20x = 431,840,436.09
  5. Step 5: Solve for x
    x = 431,840,436.09/30,503.20
  6. Step 6: Final answer
    x = 14,157.22

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Why These Related Problems?

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