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Finding the Fourth Proportional to 1,546.62, 2,134.34 and 847.98

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Solution

The fourth proportional to 1,546.62, 2,134.34 and 847.98 is: 1,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.62 : 2,134.34 = 847.98 : x
  2. Step 2: Convert to fraction form
    1,546.62/2,134.34 = 847.98/x
  3. Step 3: Cross multiply
    1,546.62x = 2,134.34 × 847.98
  4. Step 4: Simplify right side
    1,546.62x = 1,809,877.63
  5. Step 5: Solve for x
    x = 1,809,877.63/1,546.62
  6. Step 6: Final answer
    x = 1,170.21

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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.