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Finding the Fourth Proportional to 1,914.00, 2,871.88 and 926.29

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Solution

The fourth proportional to 1,914.00, 2,871.88 and 926.29 is: 1,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.00 : 2,871.88 = 926.29 : x
  2. Step 2: Convert to fraction form
    1,914.00/2,871.88 = 926.29/x
  3. Step 3: Cross multiply
    1,914.00x = 2,871.88 × 926.29
  4. Step 4: Simplify right side
    1,914.00x = 2,660,181.45
  5. Step 5: Solve for x
    x = 2,660,181.45/1,914.00
  6. Step 6: Final answer
    x = 1,389.85

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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.