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Finding the Fourth Proportional to 4,937.88, 7,409.76 and 1,820.09

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Solution

The fourth proportional to 4,937.88, 7,409.76 and 1,820.09 is: 2,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.88 : 7,409.76 = 1,820.09 : x
  2. Step 2: Convert to fraction form
    4,937.88/7,409.76 = 1,820.09/x
  3. Step 3: Cross multiply
    4,937.88x = 7,409.76 × 1,820.09
  4. Step 4: Simplify right side
    4,937.88x = 13,486,393.03
  5. Step 5: Solve for x
    x = 13,486,393.03/4,937.88
  6. Step 6: Final answer
    x = 2,731.21

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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.