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Finding the Fourth Proportional to 30,671.52, 45,978.12 and 14,042.76

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Solution

The fourth proportional to 30,671.52, 45,978.12 and 14,042.76 is: 21,050.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.52 : 45,978.12 = 14,042.76 : x
  2. Step 2: Convert to fraction form
    30,671.52/45,978.12 = 14,042.76/x
  3. Step 3: Cross multiply
    30,671.52x = 45,978.12 × 14,042.76
  4. Step 4: Simplify right side
    30,671.52x = 645,659,704.41
  5. Step 5: Solve for x
    x = 645,659,704.41/30,671.52
  6. Step 6: Final answer
    x = 21,050.79

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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.