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Finding the Fourth Proportional to 1,887.07, 2,830.63 and 776.21

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Solution

The fourth proportional to 1,887.07, 2,830.63 and 776.21 is: 1,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.07 : 2,830.63 = 776.21 : x
  2. Step 2: Convert to fraction form
    1,887.07/2,830.63 = 776.21/x
  3. Step 3: Cross multiply
    1,887.07x = 2,830.63 × 776.21
  4. Step 4: Simplify right side
    1,887.07x = 2,197,163.31
  5. Step 5: Solve for x
    x = 2,197,163.31/1,887.07
  6. Step 6: Final answer
    x = 1,164.33

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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.