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Finding the Fourth Proportional to 4,842.93, 6,686.43 and 3,721.80

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Solution

The fourth proportional to 4,842.93, 6,686.43 and 3,721.80 is: 5,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.93 : 6,686.43 = 3,721.80 : x
  2. Step 2: Convert to fraction form
    4,842.93/6,686.43 = 3,721.80/x
  3. Step 3: Cross multiply
    4,842.93x = 6,686.43 × 3,721.80
  4. Step 4: Simplify right side
    4,842.93x = 24,885,555.17
  5. Step 5: Solve for x
    x = 24,885,555.17/4,842.93
  6. Step 6: Final answer
    x = 5,138.53

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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.