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Finding the Fourth Proportional to 1,887.74, 2,830.71 and 1,157.66

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Solution

The fourth proportional to 1,887.74, 2,830.71 and 1,157.66 is: 1,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.74 : 2,830.71 = 1,157.66 : x
  2. Step 2: Convert to fraction form
    1,887.74/2,830.71 = 1,157.66/x
  3. Step 3: Cross multiply
    1,887.74x = 2,830.71 × 1,157.66
  4. Step 4: Simplify right side
    1,887.74x = 3,276,999.74
  5. Step 5: Solve for x
    x = 3,276,999.74/1,887.74
  6. Step 6: Final answer
    x = 1,735.94

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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.