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Finding the Fourth Proportional to 4,842.80, 6,681.42 and 2,718

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Solution

The fourth proportional to 4,842.80, 6,681.42 and 2,718 is: 3,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.80 : 6,681.42 = 2,718 : x
  2. Step 2: Convert to fraction form
    4,842.80/6,681.42 = 2,718/x
  3. Step 3: Cross multiply
    4,842.80x = 6,681.42 × 2,718
  4. Step 4: Simplify right side
    4,842.80x = 18,160,099.56
  5. Step 5: Solve for x
    x = 18,160,099.56/4,842.80
  6. Step 6: Final answer
    x = 3,749.92

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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.