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Finding the Fourth Proportional to 30,627.72, 45,919.98 and 11,892.15

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Solution

The fourth proportional to 30,627.72, 45,919.98 and 11,892.15 is: 17,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627.72 : 45,919.98 = 11,892.15 : x
  2. Step 2: Convert to fraction form
    30,627.72/45,919.98 = 11,892.15/x
  3. Step 3: Cross multiply
    30,627.72x = 45,919.98 × 11,892.15
  4. Step 4: Simplify right side
    30,627.72x = 546,087,290.16
  5. Step 5: Solve for x
    x = 546,087,290.16/30,627.72
  6. Step 6: Final answer
    x = 17,829.84

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1.5x scale

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.