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Finding the Fourth Proportional to 2,158.19, 2,978.64 and 1,274.08

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Solution

The fourth proportional to 2,158.19, 2,978.64 and 1,274.08 is: 1,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.19 : 2,978.64 = 1,274.08 : x
  2. Step 2: Convert to fraction form
    2,158.19/2,978.64 = 1,274.08/x
  3. Step 3: Cross multiply
    2,158.19x = 2,978.64 × 1,274.08
  4. Step 4: Simplify right side
    2,158.19x = 3,795,025.65
  5. Step 5: Solve for x
    x = 3,795,025.65/2,158.19
  6. Step 6: Final answer
    x = 1,758.43

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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.