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Finding the Fourth Proportional to 30,361.50, 45,542.04 and 9,301.50

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Solution

The fourth proportional to 30,361.50, 45,542.04 and 9,301.50 is: 13,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361.50 : 45,542.04 = 9,301.50 : x
  2. Step 2: Convert to fraction form
    30,361.50/45,542.04 = 9,301.50/x
  3. Step 3: Cross multiply
    30,361.50x = 45,542.04 × 9,301.50
  4. Step 4: Simplify right side
    30,361.50x = 423,609,285.06
  5. Step 5: Solve for x
    x = 423,609,285.06/30,361.50
  6. Step 6: Final answer
    x = 13,952.19

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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.