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Finding the Fourth Proportional to 1,914.19, 2,871.28 and 760.75

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Solution

The fourth proportional to 1,914.19, 2,871.28 and 760.75 is: 1,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.19 : 2,871.28 = 760.75 : x
  2. Step 2: Convert to fraction form
    1,914.19/2,871.28 = 760.75/x
  3. Step 3: Cross multiply
    1,914.19x = 2,871.28 × 760.75
  4. Step 4: Simplify right side
    1,914.19x = 2,184,320.03
  5. Step 5: Solve for x
    x = 2,184,320.03/1,914.19
  6. Step 6: Final answer
    x = 1,141.12

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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.