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Finding the Fourth Proportional to 30,671.88, 45,997.96 and 9,890.52

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Solution

The fourth proportional to 30,671.88, 45,997.96 and 9,890.52 is: 14,832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.88 : 45,997.96 = 9,890.52 : x
  2. Step 2: Convert to fraction form
    30,671.88/45,997.96 = 9,890.52/x
  3. Step 3: Cross multiply
    30,671.88x = 45,997.96 × 9,890.52
  4. Step 4: Simplify right side
    30,671.88x = 454,943,743.34
  5. Step 5: Solve for x
    x = 454,943,743.34/30,671.88
  6. Step 6: Final answer
    x = 14,832.60

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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.