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Finding the Fourth Proportional to 30,222, 45,334.62 and 9,447.12

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Solution

The fourth proportional to 30,222, 45,334.62 and 9,447.12 is: 14,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222 : 45,334.62 = 9,447.12 : x
  2. Step 2: Convert to fraction form
    30,222/45,334.62 = 9,447.12/x
  3. Step 3: Cross multiply
    30,222x = 45,334.62 × 9,447.12
  4. Step 4: Simplify right side
    30,222x = 428,281,595.29
  5. Step 5: Solve for x
    x = 428,281,595.29/30,222
  6. Step 6: Final answer
    x = 14,171.19

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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.