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Finding the Fourth Proportional to 2,868.14, 4,300.50 and 1,019.18

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Solution

The fourth proportional to 2,868.14, 4,300.50 and 1,019.18 is: 1,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.14 : 4,300.50 = 1,019.18 : x
  2. Step 2: Convert to fraction form
    2,868.14/4,300.50 = 1,019.18/x
  3. Step 3: Cross multiply
    2,868.14x = 4,300.50 × 1,019.18
  4. Step 4: Simplify right side
    2,868.14x = 4,382,983.59
  5. Step 5: Solve for x
    x = 4,382,983.59/2,868.14
  6. Step 6: Final answer
    x = 1,528.16

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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.