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Finding the Fourth Proportional to 30,671.40, 45,982.80 and 16,820.40

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Solution

The fourth proportional to 30,671.40, 45,982.80 and 16,820.40 is: 25,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.40 : 45,982.80 = 16,820.40 : x
  2. Step 2: Convert to fraction form
    30,671.40/45,982.80 = 16,820.40/x
  3. Step 3: Cross multiply
    30,671.40x = 45,982.80 × 16,820.40
  4. Step 4: Simplify right side
    30,671.40x = 773,449,089.12
  5. Step 5: Solve for x
    x = 773,449,089.12/30,671.40
  6. Step 6: Final answer
    x = 25,217.27

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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.