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Finding the Fourth Proportional to 30,221.88, 45,334.43 and 9,447

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Solution

The fourth proportional to 30,221.88, 45,334.43 and 9,447 is: 14,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.88 : 45,334.43 = 9,447 : x
  2. Step 2: Convert to fraction form
    30,221.88/45,334.43 = 9,447/x
  3. Step 3: Cross multiply
    30,221.88x = 45,334.43 × 9,447
  4. Step 4: Simplify right side
    30,221.88x = 428,274,360.21
  5. Step 5: Solve for x
    x = 428,274,360.21/30,221.88
  6. Step 6: Final answer
    x = 14,171.00

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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.