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Finding the Fourth Proportional to 30,671.32, 45,981.82 and 15,884.44

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Solution

The fourth proportional to 30,671.32, 45,981.82 and 15,884.44 is: 23,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.32 : 45,981.82 = 15,884.44 : x
  2. Step 2: Convert to fraction form
    30,671.32/45,981.82 = 15,884.44/x
  3. Step 3: Cross multiply
    30,671.32x = 45,981.82 × 15,884.44
  4. Step 4: Simplify right side
    30,671.32x = 730,395,460.88
  5. Step 5: Solve for x
    x = 730,395,460.88/30,671.32
  6. Step 6: Final answer
    x = 23,813.63

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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.