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Finding the Fourth Proportional to 20,757.84, 31,143 and 9,671.12

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Solution

The fourth proportional to 20,757.84, 31,143 and 9,671.12 is: 14,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.84 : 31,143 = 9,671.12 : x
  2. Step 2: Convert to fraction form
    20,757.84/31,143 = 9,671.12/x
  3. Step 3: Cross multiply
    20,757.84x = 31,143 × 9,671.12
  4. Step 4: Simplify right side
    20,757.84x = 301,187,690.16
  5. Step 5: Solve for x
    x = 301,187,690.16/20,757.84
  6. Step 6: Final answer
    x = 14,509.59

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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.