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Finding the Fourth Proportional to 1,555.98, 2,147.26 and 847.82

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Solution

The fourth proportional to 1,555.98, 2,147.26 and 847.82 is: 1,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.98 : 2,147.26 = 847.82 : x
  2. Step 2: Convert to fraction form
    1,555.98/2,147.26 = 847.82/x
  3. Step 3: Cross multiply
    1,555.98x = 2,147.26 × 847.82
  4. Step 4: Simplify right side
    1,555.98x = 1,820,489.97
  5. Step 5: Solve for x
    x = 1,820,489.97/1,555.98
  6. Step 6: Final answer
    x = 1,170.00

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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.