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Finding the Fourth Proportional to 30,489.98, 45,739.26 and 9,431.87

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Solution

The fourth proportional to 30,489.98, 45,739.26 and 9,431.87 is: 14,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.98 : 45,739.26 = 9,431.87 : x
  2. Step 2: Convert to fraction form
    30,489.98/45,739.26 = 9,431.87/x
  3. Step 3: Cross multiply
    30,489.98x = 45,739.26 × 9,431.87
  4. Step 4: Simplify right side
    30,489.98x = 431,406,525.52
  5. Step 5: Solve for x
    x = 431,406,525.52/30,489.98
  6. Step 6: Final answer
    x = 14,149.13

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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.