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Finding the Fourth Proportional to 2,829.92, 3,905.36 and 1,710.88

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Solution

The fourth proportional to 2,829.92, 3,905.36 and 1,710.88 is: 2,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.92 : 3,905.36 = 1,710.88 : x
  2. Step 2: Convert to fraction form
    2,829.92/3,905.36 = 1,710.88/x
  3. Step 3: Cross multiply
    2,829.92x = 3,905.36 × 1,710.88
  4. Step 4: Simplify right side
    2,829.92x = 6,681,602.32
  5. Step 5: Solve for x
    x = 6,681,602.32/2,829.92
  6. Step 6: Final answer
    x = 2,361.06

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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.