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Finding the Fourth Proportional to 2,887.78, 3,984.78 and 1,708.96

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Solution

The fourth proportional to 2,887.78, 3,984.78 and 1,708.96 is: 2,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.78 : 3,984.78 = 1,708.96 : x
  2. Step 2: Convert to fraction form
    2,887.78/3,984.78 = 1,708.96/x
  3. Step 3: Cross multiply
    2,887.78x = 3,984.78 × 1,708.96
  4. Step 4: Simplify right side
    2,887.78x = 6,809,829.63
  5. Step 5: Solve for x
    x = 6,809,829.63/2,887.78
  6. Step 6: Final answer
    x = 2,358.15

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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.