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Finding the Fourth Proportional to 2,986.34, 4,479.87 and 1,254.74

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Solution

The fourth proportional to 2,986.34, 4,479.87 and 1,254.74 is: 1,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.34 : 4,479.87 = 1,254.74 : x
  2. Step 2: Convert to fraction form
    2,986.34/4,479.87 = 1,254.74/x
  3. Step 3: Cross multiply
    2,986.34x = 4,479.87 × 1,254.74
  4. Step 4: Simplify right side
    2,986.34x = 5,621,072.08
  5. Step 5: Solve for x
    x = 5,621,072.08/2,986.34
  6. Step 6: Final answer
    x = 1,882.26

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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.