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Finding the Fourth Proportional to 4,842.74, 7,255.90 and 2,989.26

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Solution

The fourth proportional to 4,842.74, 7,255.90 and 2,989.26 is: 4,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.74 : 7,255.90 = 2,989.26 : x
  2. Step 2: Convert to fraction form
    4,842.74/7,255.90 = 2,989.26/x
  3. Step 3: Cross multiply
    4,842.74x = 7,255.90 × 2,989.26
  4. Step 4: Simplify right side
    4,842.74x = 21,689,771.63
  5. Step 5: Solve for x
    x = 21,689,771.63/4,842.74
  6. Step 6: Final answer
    x = 4,478.82

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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.