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Finding the Fourth Proportional to 4,871.82, 6,721.47 and 2,774.46

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Solution

The fourth proportional to 4,871.82, 6,721.47 and 2,774.46 is: 3,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.82 : 6,721.47 = 2,774.46 : x
  2. Step 2: Convert to fraction form
    4,871.82/6,721.47 = 2,774.46/x
  3. Step 3: Cross multiply
    4,871.82x = 6,721.47 × 2,774.46
  4. Step 4: Simplify right side
    4,871.82x = 18,648,449.66
  5. Step 5: Solve for x
    x = 18,648,449.66/4,871.82
  6. Step 6: Final answer
    x = 3,827.82

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1.5x scale

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.