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Finding the Fourth Proportional to 15,832, 21,846.27 and 8,757.46

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Solution

The fourth proportional to 15,832, 21,846.27 and 8,757.46 is: 12,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832 : 21,846.27 = 8,757.46 : x
  2. Step 2: Convert to fraction form
    15,832/21,846.27 = 8,757.46/x
  3. Step 3: Cross multiply
    15,832x = 21,846.27 × 8,757.46
  4. Step 4: Simplify right side
    15,832x = 191,317,835.67
  5. Step 5: Solve for x
    x = 191,317,835.67/15,832
  6. Step 6: Final answer
    x = 12,084.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.