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Finding the Fourth Proportional to 1,914.08, 2,871.28 and 744.04

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Solution

The fourth proportional to 1,914.08, 2,871.28 and 744.04 is: 1,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.08 : 2,871.28 = 744.04 : x
  2. Step 2: Convert to fraction form
    1,914.08/2,871.28 = 744.04/x
  3. Step 3: Cross multiply
    1,914.08x = 2,871.28 × 744.04
  4. Step 4: Simplify right side
    1,914.08x = 2,136,347.17
  5. Step 5: Solve for x
    x = 2,136,347.17/1,914.08
  6. Step 6: Final answer
    x = 1,116.12

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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.