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Finding the Fourth Proportional to 1,887.09, 2,830.80 and 776.24

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Solution

The fourth proportional to 1,887.09, 2,830.80 and 776.24 is: 1,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.09 : 2,830.80 = 776.24 : x
  2. Step 2: Convert to fraction form
    1,887.09/2,830.80 = 776.24/x
  3. Step 3: Cross multiply
    1,887.09x = 2,830.80 × 776.24
  4. Step 4: Simplify right side
    1,887.09x = 2,197,380.19
  5. Step 5: Solve for x
    x = 2,197,380.19/1,887.09
  6. Step 6: Final answer
    x = 1,164.43

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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.