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Finding the Fourth Proportional to 1,887.74, 2,830.52 and 1,263.75

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Solution

The fourth proportional to 1,887.74, 2,830.52 and 1,263.75 is: 1,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.74 : 2,830.52 = 1,263.75 : x
  2. Step 2: Convert to fraction form
    1,887.74/2,830.52 = 1,263.75/x
  3. Step 3: Cross multiply
    1,887.74x = 2,830.52 × 1,263.75
  4. Step 4: Simplify right side
    1,887.74x = 3,577,069.65
  5. Step 5: Solve for x
    x = 3,577,069.65/1,887.74
  6. Step 6: Final answer
    x = 1,894.90

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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.