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Finding the Fourth Proportional to 2,984.58, 4,470.90 and 1,426.08

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Solution

The fourth proportional to 2,984.58, 4,470.90 and 1,426.08 is: 2,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.58 : 4,470.90 = 1,426.08 : x
  2. Step 2: Convert to fraction form
    2,984.58/4,470.90 = 1,426.08/x
  3. Step 3: Cross multiply
    2,984.58x = 4,470.90 × 1,426.08
  4. Step 4: Simplify right side
    2,984.58x = 6,375,861.07
  5. Step 5: Solve for x
    x = 6,375,861.07/2,984.58
  6. Step 6: Final answer
    x = 2,136.27

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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.