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Finding the Fourth Proportional to 4,978.88, 6,871 and 2,740.82

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Solution

The fourth proportional to 4,978.88, 6,871 and 2,740.82 is: 3,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.88 : 6,871 = 2,740.82 : x
  2. Step 2: Convert to fraction form
    4,978.88/6,871 = 2,740.82/x
  3. Step 3: Cross multiply
    4,978.88x = 6,871 × 2,740.82
  4. Step 4: Simplify right side
    4,978.88x = 18,832,174.22
  5. Step 5: Solve for x
    x = 18,832,174.22/4,978.88
  6. Step 6: Final answer
    x = 3,782.41

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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.